Question

Find the indicated limit. ModifyingBelow lim With x right arrow 8 StartRoot 7 x minus 2 EndRoot Select the correct choice below and fill in the answer box within your choice. A. ModifyingBelow lim With x right arrow 8 StartRoot 7 x minus 2 EndRoot ​= nothing ​(Type an exact​ answer, using radicals as​ needed.) B. The limit does not exist.

Answer 1

Answer:

$3\sqrt{6}$

Step-by-step explanation:

We are to determine the limit below.

$\lim _{x \rightarrow8}\sqrt{7x-2}$

Plug in 8 into the function.

$\lim _{x \rightarrow8}\sqrt{7x-2}=\sqrt{7(8)-2}\\=\sqrt{56-2}\\ =\sqrt{54}\\ =3\sqrt{6} \\\lim _{x \rightarrow8}\sqrt{7x-2}=3\sqrt{6}$