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hw5 the limit laws (target l4; §2.3)
score: 3/13 answered: 3/13
question 4
evaluate the limit:
\\(\lim_{y\to1}8y^{3}-4y =\\)
question help: video message instructor

Explanation:

Step1: Apply limit - sum/difference rule

$\lim_{y
ightarrow1}(8y^{3}-4y)=\lim_{y
ightarrow1}(8y^{3})-\lim_{y
ightarrow1}(4y)$

Step2: Apply constant - multiple rule

$=8\lim_{y
ightarrow1}(y^{3}) - 4\lim_{y
ightarrow1}(y)$

Step3: Use the power rule $\lim_{y

ightarrow a}y^{n}=a^{n}$ and $\lim_{y
ightarrow a}y = a$
$8\times1^{3}-4\times1$

Step4: Calculate the result

$8 - 4=4$

Answer:

$4$