Question

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

Explanation:

Step1: Apply limit - substitution rule

For a polynomial function \(y = f(x)\), \(\lim_{x
ightarrow a}f(x)=f(a)\). Here \(f(x) = 2x\) and \(a = 6\).
\(\lim_{x
ightarrow6}2x=2\times6\)

Step2: Calculate the result

\(2\times6 = 12\)

Answer:

A. \(\lim_{x
ightarrow6}2x = 12\)