Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
{
x
2
−
1
,
x
<
1
,
2
x
−
1
,
x
≥
1.
f(x)=\begin{cases}x^{2}-1,& x<1,\\2x-1,& x\ge 1.\end{cases}
f
(
x
)
=
{
x
2
−
1
,
2
x
−
1
,
x
<
1
,
x
≥
1.
Find the left-hand limit and the right-hand limit of
f
(
x
)
f(x)
f
(
x
)
as
x
→
1
x\to 1
x
→
1
.
Browse the problem library