Question

choose an equation from the following that expresses the fact that a function f is continuous at the number 7.
$lim_{x
ightarrow7}f(x)=-infty$
$lim_{x
ightarrow0}f(x)=7$
$lim_{x
ightarrow7}f(x)=infty$
$lim_{x
ightarrow0}f(x)=f(7)$
$lim_{x
ightarrow7}f(x)=f(7)$

Explanation:

Step1: Recall continuity definition

A function $f(x)$ is continuous at $x = a$ if $\lim_{x
ightarrow a}f(x)=f(a)$. Here $a = 7$.

Answer:

$\lim_{x
ightarrow 7}f(x)=f(7)$ (the last option)