微積分
極限、導數、最優化與函數性質。
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for the function, find the points on the graph at which the tangent lin…
A. (-5, 61)
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if (y = \frac{1}{x^{9}}), find (\frac{dy}{dx}) at (x=-2). the value of …
$-\frac{9}{1024}$
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find f(x) f(x)=\frac{8}{9x^{3}} f(x)=square
$-\frac{8}{3x^{4}}$
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find the derivative of the given function. y = \\sqrt3{5x} \\frac{dy}{d…
$\frac{5}{3(5x)^{\frac{2}{3}}}$
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find $\frac{dy}{dx}$ y = - 6x^{\frac{1}{5}}$\frac{dy}{dx}=square$
$-\frac{6}{5}x^{-\frac{4}{5}}$
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why was it an issue that the us government sold anti - tank weapons to …
A. Congress had embargoed the sale of arms to Iran, and limited US assistance to the Nicaraguan Contras—both actions were illegal.
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differentiate. y = 4x^3 - 8x^2 + 16x + 3 \frac{dy}{dx}=square
$12x^{2}-16x + 16$
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question list find $\frac{dy}{dx}$ y = 4x^5 $\frac{dy}{dx}=square$ ques…
$20x^{4}$
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33. $lim_{x ightarrow5pi/6}sin x$ 34. $lim_{x ightarrow5pi/3}cos x$ 35.…
1. **For problem 33: $\lim_{x ightarrow\frac{5\pi}{6}}\sin x$** - **Explanation**: - **Step1: Recall the continuity of sine - function** - The sine function $y = \sin x$ is contin…
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find $\frac{dy}{dx}$ y = 10x $\frac{dy}{dx}=square$
$10$
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find all intervals on which the graph of f is increasing.
$(-8,-6),(0,4),(7,9)$
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question let $h(x)=\frac{f(x)}{g(x)}$, where $f(x)=ln(4x^{2}-3x)$ and $…
$h'(x)=\frac{\frac{8x - 3}{4x^{2}-3x}(3x - 1)-3\ln(4x^{2}-3x)}{(3x - 1)^{2}}$
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question 3 let ( f(x)=-3x^{2}+18x + 7). which of the following is (\fra…
\(-6x-3h + 18\)
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determine f(2). enter your answer as an exact value. f(x)=\frac{2x}{g(x…
$-\frac{10}{9}$
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why was it an issue that the us government sold anti - tank weapons to …
A. Congress had embargoed the sale of arms to Iran, and limited US assistance to the Nicaraguan Contras—both actions were illegal.
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determine the derivative of the following function by applying the quot…
The first option: $h'(x)=\frac{\frac{2x + 1}{x^{2}+x}(x^{2}+1)-2x\ln(x^{2}+x)}{(x^{2}+1)^{2}}$
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question let $h(x)=\frac{f(x)}{g(x)}$ where $f(x)=-4x^{2}-5x + 1$, $g(1…
$\frac{1}{2}$
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question let $h(x)=\frac{f(x)}{g(x)}$, where $f(4)= - 3,f(4)= - 5,g(4)=…
$-1.12$
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5. match the characteristic of representative government with the colon…
| Characteristics | Virginia House of Burgesses | Mayflower Compact | Fundamental Orders of Connecticut | | --- | --- | --- | --- | | Served as a model for other colonial legislat…
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question let $k(x)=\frac{f(x)g(x)}{h(x)}$. if $f(x)=x + 2$, $g(x)=2x + …
$-\frac{5}{2}$
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question. for $j(x)=\frac{x^{2}}{3x + 7}$, find $j(x)$ by applying the …
$\frac{3x^{2}+14x}{(3x + 7)^{2}}$
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question let $k(x)=f(x)g(x)h(x)$. if $f(-3)=-6,f(-3)=-9,g(-3)=-1,g(-3)=…
-282
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if (f(x)=(x^{2}-5x + 8)(3x^{2}-2)), find (f(x)).
$f'(x)=12x^{3}-45x^{2}+44x + 10$
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graphical reasoning in exercises 29 and 30, use the graph of the functi…
(a) $f(1)=2$ (b) $\lim_{x ightarrow1}f(x)=2$ (c) $f(4)$ does not exist (d) $\lim_{x ightarrow4}f(x)=2$
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president calvin coolidges approach to the american economy can be best…
A. laissez - faire; he limited federal regulation of the economy, cut spending, and lowered income tax rates.
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chapter 1 limits and their properties 60 25. $lim_{x ightarrow2}\frac{|…
25. Does not exist 26. Does not exist 27. Does not exist 28. Does not exist
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chapter 1 limits and their properties 60 25. $lim_{x ightarrow2}\frac{|…
25. 극한 존재하지 않음 26. 극한 존재하지 않음 27. 극한 존재하지 않음 28. 극한 존재하지 않음
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finding a limit graphically in exercises 21 - 28, use the graph to find…
1
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20. a technician can test video player chips at the rate of -3t² + 16t …
68
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question 6 let (f(x)=-3x^{2}+18x + 7). which of the following is (\frac…
$-6x-3h + 18$
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directions: for each of the following, determine if the given polynomia…
15. Global minimum. Reason: Degree is 4 (even) and leading - coefficient is positive. 16. Neither. Reason: Degree is 3 (odd). 17. Global maximum. Reason: Degree is 6 (even) and le…
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the table describes rates of change of a function f for selected interv…
We need the table of rates of change to determine the correct interval. Since the table is not provided, we cannot give a definite answer from the options A. $0 < x<1$, B. $1 < x<…
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question if $r(x)=log_8left(\frac{x^{3}8^{x}}{3x + 1} ight)$, find $r(x…
$r'(x)=\frac{3}{x\ln8}+1-\frac{3}{(3x + 1)\ln8}$ (last option)
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if $r(x)=log_{5}left(\frac{x^{6}5^{x}}{5x^{2}+5} ight)$, find $r(x)$. s…
$r'(x)=\frac{6}{x\ln5}+1-\frac{10x}{(5x^2 + 5)\ln5}$
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determine $h(x)$ if $h(x)=log_5(4x^{3}+3x^{2}+6x)$. select the correct …
$\frac{12x^{2}+6x + 6}{(\ln 5)(4x^{3}+3x^{2}+6x)}$ (last option)
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question what is the first derivative of y(x) = log₇(2x³ + 3x² + 5)? se…
$\frac{6x^{2}+6x}{(\ln7)(2x^{3}+3x^{2}+5)}$
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what is the first derivative of $r(x)=log_6left(\frac{x^{2}+x + 4}{x^{3…
$r'(x)=\frac{2x + 1}{(x^{2}+x + 4)\ln6}-\frac{3}{x\ln6}-1$ (third option)
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find the derivative of the function $f(x)=log_3left(\frac{3x^{2}}{sqrt{…
$\frac{3}{2x\ln(3)}$ (corresponding to the second option in the multiple - choice)
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question determine the derivative of 6^x log_3(x). select the correct a…
$\frac{6^{x}}{x\ln(3)}+(\log_{3}(x))(6^{x})(\ln(6))$
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question determine the derivative of $g(x)=log_4(x^{2}-9x)$. provide yo…
$\frac{2x - 9}{(x^{2}-9x)\ln(4)}$
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question what is the first derivative of $q(x)=ln\frac{3}{2}x^{8}$? sel…
$q'(x)=\frac{8}{x}$
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d. materials and technology: 4. form follows ____________ suggests that…
4. function; function; purpose 5. design; structure 6. First row: Naturalistic Decorative Design; Second row: Stylized Decorative Design
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question 6 of 10 view policies show attempt history current attempt in …
156
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use the passage to answer the question. both had now given up the usele…
A. pointless
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score on last try: 0 of 1 pts. see details for more. at least one score…
Increasing: $(-3,-1),(2,4)$ Decreasing: $(-5,-3),(-1,2)$
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emily is installing a well - known social media app on her smartphone. …
D. Emily should carefully review each permission request, granting access only to the specific features she intends to use.
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use the information to determine each limit. (if the limit is infinite,…
0
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find the one - sided limit (if it exists). (if the limit is infinite, e…
$-\frac{1}{13}$
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what must you provide in an explanation of a claim? evidence and reason…
Evidence and reasoning
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find the vertical asymptotes (if any) of the graph of the function. (en…
x = -2, x = 1
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3. - / 1 points evaluate the limit, if it exists. (if an answer does no…
$3$
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evaluate the limit, if it exists. (if an answer does not exist, enter d…
$-\frac{1}{49}$
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the following is from a newspaper article. the city council will begin …
2. It is about a controversial issue in which no solution will likely be found that pleases everyone.
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the graph of f(x) is shown below. estimate and list the value of x wher…
x = - 2, x = 4
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for each value below, enter the number correct to four decimal places. …
$[7,8]:$ $49.5500$ $[7,7.5]:$ $50.0050$ $[7,7.1]:$ $50.9370$ $[7,7.01]:$ $43.1217$ $[7,7.001]:$ $52.9170$
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each of the following sentences has a figurative comparison. underline …
1. Both create a wintry, desolate scene. 2. Both are examples of his good cooking. 3. Both have a loud, harsh sound. 4. Both show a difference in size perception. 5. Both are long…
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5 the creation of bantustans is similar to what practice in american hi…
A. Limiting Native American land to reservations
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1 what are some of the most important principles included in the foundi…
Popular sovereignty, limited government, and the rule of law are some important principles in founding documents.
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which statement explains a way how the securities and exchange commissi…
The SEC generally oversees financial advisers.
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select all the correct answers. what were the results of nixons decisio…
A. A student anti - war protest broke out at the Capitol in Washington. D. Americans felt he abused his powers by not consulting Congress. E. Congress passed the War Powers Act th…
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question 3 using the method of separation of variables, solve the follo…
$u(x,t)=8e^{-2x-6t}$
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the black graph is y = cos x. choose the equation for the red graph. y …
$y=\cos(x-\frac{\pi}{2})+1$
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the graph below shows the hectares of land available for cultivation an…
3.1.1 (a) Limited availability. (b) Natural resource for cultivation. 3.1.2 The decline in arable land over years indicates scarcity. 3.1.3 Habitat for wildlife; Recreational use.…
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3.1.1 use your calculator to complete the following table: | θ | 30° | …
3.1.1 Table values (from left to right): 0.866, 0.5, 1, 0, -1, 0 3.1.3 360° 3.1.4 [-1, 1] 3.1.5 1 3.1.6 It shifts the graph of f(θ) to the left by 30°. 3.1.7 Because the domain of…
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the graph of the polynomial function f is shown. how many points of inf…
B. Three
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the graph of the polynomial function g is shown. the function f is defi…
B. Four
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1 mark for review for the polynomial function g, the rate of change of …
D. The graph of $g$ has a point of inflection at $x = 2$, is concave up for $x < 2$, and is concave down for $x>2$
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the function f is given by f(x)=x² + 3x - 6. which of the following des…
D. For any interval of $x\lt - 1.5$, the function has a negative rate of change, and for any interval of $x\gt - 1.5$, the function has a positive rate of change.
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the graph of the function y = g(x) is given. of the following, on which…
B. $-1\leq x\leq0$
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the constitution regulates government powers by providing a majority of…
providing guides and limits to the government's power.
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how does the united nations differ from the league of nations in its ap…
It addresses a broader range of issues.
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the period of atomic espionage was not limited to scientific innovation…
for sharing atomic secrets with the Soviet Union
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id no: section: part i:write true if the statement is correct or false …
## Part I: 1. True 2. False 3. False 4. True 5. True 6. True ## Part II: 1. $N(t)=\frac{T'(t)}{\vert T'(t)\vert}$ 2. level curve 3. $\frac{2}{3}$ 4. $\sqrt{5}$ ## Part III: 1. A. …
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los alamos facilities: extensive facilities and testing sites in los al…
B. Los Alamos, New Mexico
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kayla chege, a 15 - year - old in kansas, thinks no question is too sma…
Once upon a time, there was a young student named Lily. She was just like Kayla, living in a world where AI was everywhere. Lily used ChatGPT for every little thing, from helping …
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2. identify the distribution of the deaths? what is the distribution of…
2. Analyze map for distribution. 3. Identify spatial patterns. 4. Determine origin, explain patterns. 5. Identify data limitations.
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for the position function s(t)=\frac{16}{t + 1}, complete the following…
| Time Interval | Average Velocity | | ---- | ---- | | $[0,1]$ | - 8 | | $[0,0.5]$ | - 10.667 | | $[0,0.1]$ | - 14.545 | | $[0,0.01]$ | - 15.842 | | $[0,0.001]$ | - 15.984 |
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how did the new deal change the role of the federal government during t…
It expanded federal programs to address social and economic challenges.
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assignment 3.3: rates of change and behavior of graphs score: 11.5/13 a…
$3$
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home > fall 2025 math195 tuesday/thursday > assessment assignment 3.3: …
18
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part: 1 / 2 part 2 of 2 the function has no relative minimum. the funct…
The function has no relative maximum.
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consider the graph of f shown below. estimate the average rate of chang…
$\frac{2}{3}$
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sugar plantations were hell because of the endless labor they demanded …
The repetition and connotations of words emphasize that slaveholders were merciless
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evaluate $lim_{x ightarrow0}sinleft(\frac{1}{4x^{2}} ight)$ using the f…
$\varnothing$
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how many amendments does the constitution have? 27 25 5 100 question 23…
First question: A. 27 Second question: Congress had to rely on sometimes unwilling states for tax revenue.
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question 20 · 1 point find the derivative of f(x)=3x^4 - 7x + 1. provid…
$12x^{3}-7$
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1. find the slope of the secant line pq for each point q(x, f(x)) with …
For \(x=-0.01\), \(m_{PQ}=-0.010000\) For \(x=-0.001\), \(m_{PQ}=-0.001000\) For \(x = 0.001\), \(m_{PQ}=0.001000\) For \(x = 0.01\), \(m_{PQ}=0.010000\) slope \(\approx0\)
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given (f(x)=3 - 5x^{3}), use a table to estimate the slope of the tange…
For $x = 0.01$, $m_{PQ}=-0.0005$; for $x = 0.001$, $m_{PQ}=-0.000005$; for $x=-0.001$, $m_{PQ}=0.000005$; for $x=-0.01$, $m_{PQ}=0.0005$. The slope of the tangent line at $P(0,3)$…
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the only laws that exist in the ______ are not covenants forged between…
Question 1: A. State of nature Question 2: A. By becoming tyrannical
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question 17 - 1 point find the points at which the following function i…
None of the above
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question 15 · 1 point for ( j(x)=f(x)cdot g(x)), use the product - rule…
$-47$
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question 14 · 1 point find $\frac{d}{dx}left(\frac{3}{x^{7}} ight)$. pr…
$-\frac{21}{x^{8}}$
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question 13 · 1 point find the average rate of change of the function f…
$0$
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select the correct answer below. o f(x) has a removable discontinuity a…
f(x) has a jump discontinuity at x = 3.
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question 11 · 1 point evaluate each of the following limits, then ident…
a. $\lim_{x ightarrow4^{-}}f(x)=-\infty$ $\lim_{x ightarrow4^{+}}f(x)=+\infty$ $\lim_{x ightarrow4}f(x)=\varnothing$ Vertical asymptote: $x = 4$
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question 9 - 1 point find the derivative of $f(x)=-\frac{4}{3x^{4}}$. p…
$-\frac{16}{3}x^{3}$
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use the graph of h(x) shown below to evaluate lim h(x), if possible. if…
$-1$
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question 6 - 1 point write the following sentence regarding a limit sym…
$0$
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question 5 · 1 point use the quotient rule to evaluate h(a) for the giv…
$\frac{63}{121}$
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question 4 - 1 point given that lim(x→1) f(x)= - 4 and lim(x→1) g(x)=1,…
$-3$