Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
A function
h
h
h
satisfies the following near
x
=
0
x=0
x
=
0
: • As
x
x
x
approaches
0
0
0
from the left,
h
(
x
)
h(x)
h
(
x
)
approaches
2
2
2
. • As
x
x
x
approaches
0
0
0
from the right,
h
(
x
)
h(x)
h
(
x
)
approaches
−
1
-1
−
1
. State (a)
lim
x
→
0
−
h
(
x
)
\displaystyle \lim_{x\to 0^-} h(x)
x
→
0
−
lim
h
(
x
)
and (b)
lim
x
→
0
h
(
x
)
\displaystyle \lim_{x\to 0} h(x)
x
→
0
lim
h
(
x
)
.
Browse the problem library