Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Let
f
(
x
)
=
{
x
2
+
a
x
−
2
a
−
4
x
−
2
,
x
<
2
4
x
−
a
,
x
≥
2
f(x)=\begin{cases} \dfrac{x^{2}+ax-2a-4}{x-2}, & x<2\\ 4x-a, & x\ge 2 \end{cases}
f
(
x
)
=
⎩
⎨
⎧
x
−
2
x
2
+
a
x
−
2
a
−
4
,
4
x
−
a
,
x
<
2
x
≥
2
…
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
+
a
x
−
2
a
−
4
x
−
2
,
x
<
2
4
x
−
a
,
x
≥
2
f(x)=\begin{cases} \dfrac{x^{2}+ax-2a-4}{x-2}, & x<2\\ 4x-a, & x\ge 2 \end{cases}
f
(
x
)
=
⎩
⎨
⎧
x
−
2
x
2
+
a
x
−
2
a
−
4
,
4
x
−
a
,
x
<
2
x
≥
2
Determine the value of
a
a
a
for which
lim
x
→
2
f
(
x
)
\displaystyle\lim_{x\to 2}f(x)
x
→
2
lim
f
(
x
)
exists. a)
a
=
4
a=4
a
=
4
b)
a
=
2
a=2
a
=
2
c)
a
=
3
a=3
a
=
3
d)
a
=
−
2
a=-2
a
=
−
2
Browse the problem library