find the limit if it exists. \n\\(\\lim_{x\\to7}4x\\)\n\nselect the correct choice below and, if necessary…

find the limit if it exists. \n\\(\\lim_{x\\to7}4x\\)\n\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\n\no a. \\(\\lim_{x\\to7}4x = \\) (simplify your answer.)\n\no b. the limit does not exist.

find the limit if it exists. \n\\(\\lim_{x\\to7}4x\\)\n\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\n\no a. \\(\\lim_{x\\to7}4x = \\) (simplify your answer.)\n\no b. the limit does not exist.

Answer

Explanation:

Step1: Apply limit - value substitution

The function $y = 4x$ is a polynomial function. For a polynomial function $f(x)$ and a real - number $a$, $\lim_{x\rightarrow a}f(x)=f(a)$. Here $f(x) = 4x$ and $a = 7$. So we substitute $x = 7$ into the function $4x$. $4\times7$

Answer:

A. $\lim_{x\rightarrow7}4x = 28$