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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.

Respuesta :

Answer:

[tex]3\sqrt{6}[/tex]

Step-by-step explanation:

We are to determine the limit below.

[tex]\lim _{x \rightarrow8}\sqrt{7x-2}[/tex]

Plug in 8 into the function.

[tex]\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}[/tex]

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