find the limit if it exists.\n\\(\\lim_{x\\to6}2x\\)\nselect the correct choice below and, if necessary…

find the limit if it exists.\n\\(\\lim_{x\\to6}2x\\)\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. \\(\\lim_{x\\to6}2x = \\) (simplify your answer.)\nb. the limit does not exist.

find the limit if it exists.\n\\(\\lim_{x\\to6}2x\\)\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. \\(\\lim_{x\\to6}2x = \\) (simplify your answer.)\nb. the limit does not exist.

Answer

Explanation:

Step1: Apply limit - substitution rule

For a polynomial function (y = f(x)), (\lim_{x\rightarrow a}f(x)=f(a)). Here (f(x) = 2x) and (a = 6). (\lim_{x\rightarrow6}2x=2\times6)

Step2: Calculate the result

(2\times6 = 12)

Answer:

A. (\lim_{x\rightarrow6}2x = 12)