Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Let
g
(
x
)
=
{
x
2
−
1
x
−
1
,
x
≠
1
,
2
,
x
=
1.
g(x)=\begin{cases} \dfrac{x^{2}-1}{x-1}, & x\ne 1,\\ 2, & x=1. \end{cases}
g
(
x
)
=
⎩
⎨
⎧
x
−
1
x
2
−
1
,
2
,
x
=
1
,
x
=
1.
D…
Mathematics
Problem
Let
g
(
x
)
=
{
x
2
−
1
x
−
1
,
x
≠
1
,
2
,
x
=
1.
g(x)=\begin{cases} \dfrac{x^{2}-1}{x-1}, & x\ne 1,\\ 2, & x=1. \end{cases}
g
(
x
)
=
⎩
⎨
⎧
x
−
1
x
2
−
1
,
2
,
x
=
1
,
x
=
1.
Determine whether
g
g
g
is continuous at
x
=
1
x=1
x
=
1
.
Browse the problem library