Question

find the limit if it exists.
lim (11x + 8)
x→ - 8

c. 11· lim x· lim 8
x→ - 8 x→ - 8

d. lim 8
x→ - 8

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. lim (11x + 8) = (simplify your answer.)
x→ - 8

b. the limit does not exist.

Explanation:

Step1: Apply limit - sum rule

$\lim_{x
ightarrow - 8}(11x + 8)=\lim_{x
ightarrow - 8}(11x)+\lim_{x
ightarrow - 8}(8)$

Step2: Apply constant - multiple rule for limits

$\lim_{x
ightarrow - 8}(11x)=11\lim_{x
ightarrow - 8}(x)$

Step3: Evaluate individual limits

$11\lim_{x
ightarrow - 8}(x)+\lim_{x
ightarrow - 8}(8)=11\times(-8)+8$

Step4: Calculate the result

$11\times(-8)+8=-88 + 8=-80$

Answer:

A. $\lim_{x
ightarrow - 8}(11x + 8)=-80$