Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
g
(
x
)
=
{
x
2
−
4
x
−
2
,
x
≠
2
k
,
x
=
2
g(x)=\begin{cases}\dfrac{x^{2}-4}{x-2}, & x\ne2\\ k, & x=2\end{cases}
g
(
x
)
=
⎩
⎨
⎧
x
−
2
x
2
−
4
,
k
,
x
=
2
x
=
2
Find the value of
k
k
k
so that
g
g
g
is differentiable at
x
=
2
x=2
x
=
2
.
Browse the problem library