Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
For
k
>
0
k>0
k
>
0
, define
h
k
(
x
)
=
∣
x
∣
k
h_k(x)=|x|^{\,k}
h
k
(
x
)
=
∣
x
∣
k
. Determine all real values of
k
k
k
for which
h
k
h_k
h
k
is continuous at
x
=
0
x=0
x
=
0
but not differentiable there.
Browse the problem library