choose an equation from the following that expresses the fact that a function f is continuous at the number…

choose an equation from the following that expresses the fact that a function f is continuous at the number 7.\n$lim_{x\rightarrow7}f(x)=-infty$\n$lim_{x\rightarrow0}f(x)=7$\n$lim_{x\rightarrow7}f(x)=infty$\n$lim_{x\rightarrow0}f(x)=f(7)$\n$lim_{x\rightarrow7}f(x)=f(7)$

choose an equation from the following that expresses the fact that a function f is continuous at the number 7.\n$lim_{x\rightarrow7}f(x)=-infty$\n$lim_{x\rightarrow0}f(x)=7$\n$lim_{x\rightarrow7}f(x)=infty$\n$lim_{x\rightarrow0}f(x)=f(7)$\n$lim_{x\rightarrow7}f(x)=f(7)$

Answer

Explanation:

Step1: Recall continuity definition

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

Answer:

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