Question

find the indicated limit.
lim_{x
ightarrow3}sqrt{6x - 7}
select the correct choice below and fill in the answer box within your choice.
○ a. (lim_{x
ightarrow3}sqrt{6x - 7}=) (type an exact answer, using radicals as needed.)
○ b. the limit does not exist

Explanation:

Step1: Substitute x = 3

$\lim_{x
ightarrow3}\sqrt{6x - 7}=\sqrt{6\times3 - 7}$

Step2: Calculate the value inside radical

$\sqrt{6\times3 - 7}=\sqrt{18 - 7}=\sqrt{11}$

Answer:

A. $\lim_{x
ightarrow3}\sqrt{6x - 7}=\sqrt{11}$