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

`3√(6)`

Explanation:

We are to determine the limit below.

`\lim _(x \rightarrow8)√(7x-2)`

Plug in 8 into the function.

`\lim _(x \rightarrow8)√(7x-2)=√(7(8)-2)\\=√(56-2)\\ =√(54)\\ =3√(6) \\\lim _(x \rightarrow8)√(7x-2)=3√(6)`