Solution Found!
a. Graph b. Find and c. Does exist? If so, what is it? If
Chapter 2, Problem 8E(choose chapter or problem)
a. Graph \(f(x)=\left\{\begin{array}{ll}1-x^{2}, & x \neq 1 \\2, & x=1\end{array}\right.\)
b. Find \(\lim _{x \rightarrow 1^{+}} f(x)\) and \(\lim _{x \rightarrow 1^{-}} f(x)\).
c. Does \(\lim _{x \rightarrow 1} f(x)\) exist? If so, what is it? If not, why not?
Equation Transcription:
{
Text Transcription:
f(x)={2, x=1 1-x^2, x not equal 1
Lim_x right arrow 1^+f(x)
Lim_x right arrow 1^-f(x)
Lim_x right arrow 1 f(x)
Questions & Answers
QUESTION:
a. Graph \(f(x)=\left\{\begin{array}{ll}1-x^{2}, & x \neq 1 \\2, & x=1\end{array}\right.\)
b. Find \(\lim _{x \rightarrow 1^{+}} f(x)\) and \(\lim _{x \rightarrow 1^{-}} f(x)\).
c. Does \(\lim _{x \rightarrow 1} f(x)\) exist? If so, what is it? If not, why not?
Equation Transcription:
{
Text Transcription:
f(x)={2, x=1 1-x^2, x not equal 1
Lim_x right arrow 1^+f(x)
Lim_x right arrow 1^-f(x)
Lim_x right arrow 1 f(x)
ANSWER:
Solution:
Step 1 of 3
In this problem, we have to solve for the given statements.
(a). We have to graph
,
,
.
The graph of the function, ,
and
,
is shown below
