Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
{
x
2
−
a
2
x
−
a
,
x
≠
a
,
4
,
x
=
a
.
f(x)=\begin{cases}\dfrac{x^2-a^2}{x-a}, & x\ne a,\\ 4, & x=a.\end{cases}
f
(
x
)
=
⎩
⎨
⎧
x
−
a
x
2
−
a
2
,
4
,
x
=
a
,
x
=
a
.
For which value of
a
a
a
is
f
f
f
continuous at
x
=
a
x=a
x
=
a
? a)
0
0
0
b)
2
2
2
c)
4
4
4
d)
−
2
-2
−
2
Browse the problem library