Question

find the limit if it exists.
\\(\lim_{x\to7}4x\\)

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

o a. \\(\lim_{x\to7}4x = \\) (simplify your answer.)

o b. the limit does not exist.

Explanation:

Step1: Apply limit - value substitution

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

Answer:

A. $\lim_{x
ightarrow7}4x = 28$