Question

quiz 2 - requires respondus lockdown browser + webcam
started: sep 1 at 5:51pm
quiz instructions
access code: start
timed: 30 minutes
number of attempts: 1
lockdown browser and respondus monitor required.
question 5
choose an equation from the following that expresses the fact that a function f is continuous at the number
lim_{x→0}f(x)=f(8)
lim_{x→8}f(x)= - ∞
lim_{x→8}f(x)= ∞
lim_{x→8}f(x)=f(8)
lim_{x→0}f(x)=8

Explanation:

Step1: Recall continuity definition

A function $f(x)$ is continuous at $x = a$ if $\lim_{x
ightarrow a}f(x)=f(a)$. Here $a = 8$, so for the function $f$ to be continuous at $x = 8$, the limit of $f(x)$ as $x$ approaches $8$ must equal $f(8)$, i.e., $\lim_{x
ightarrow 8}f(x)=f(8)$.

Answer:

$\lim_{x
ightarrow 8}f(x)=f(8)$ (the fourth - option in the list of choices)