Question

find the indicated limit.
\\( \lim _ { x \
ightarrow 8 } \sqrt { 5 x } - 9 \\)
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
oa. \\( \lim _ { x \
ightarrow 8 } \sqrt { 5 x } - 9 = \\) (type an exact answer, using radicals as needed.)
ob. the limit does not exist.

Explanation:

Step1: Substitute x=8 into the function

$\sqrt{5(8)} - 9 = \sqrt{40} - 9$

Step2: Simplify the radical

$\sqrt{40} = 2\sqrt{10}$

Step3: Combine terms

$2\sqrt{10} - 9$

Answer:

$2\sqrt{10} - 9$