Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
∣
x
∣
,
x
≤
λ
,
x
2
,
x
>
λ
f(x)= \begin{cases} |x|, & x\le \lambda,\\ x^{2}, & x>\lambda \end{cases}
f
(
x
)
=
{
∣
x
∣
,
x
2
,
x
≤
λ
,
x
>
λ
where
λ
\lambda
λ
is a real parameter. For which value(s) of
λ
\lambda
λ
is
f
f
f
continuous at
x
=
λ
x=\lambda
x
=
λ
? a)
{
−
1
,
1
}
\{-1,1\}
{
−
1
,
1
}
b)
{
0
,
1
}
\{0,1\}
{
0
,
1
}
c)
{
−
1
,
0
,
1
}
\{-1,0,1\}
{
−
1
,
0
,
1
}
d)
{
−
1
,
0
}
\{-1,0\}
{
−
1
,
0
}
Browse the problem library