Question

find the given limit.
lim (3x^4 - 8x^3 + 9)
x→1

lim (3x^4 - 8x^3 + 9) = 4
x→1
(simplify your answer.)

Explanation:

Step1: Substitute x = 1

Substitute \(x = 1\) into \(3x^{4}-8x^{3}+9\).
\[3\times(1)^{4}-8\times(1)^{3}+9\]

Step2: Calculate the powers

Calculate \((1)^{4}=1\) and \((1)^{3}=1\).
\[3\times1 - 8\times1+9\]

Step3: Perform multiplications

Perform \(3\times1 = 3\) and \(8\times1 = 8\).
\[3 - 8+9\]

Step4: Perform additions and subtractions

\[3+9 - 8=4\]

Answer:

4