Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
p
p
p
be defined by
p
(
x
)
=
x
sin
(
10
x
)
p(x)=x\sin\!\left(\dfrac{10}{x}\right)
p
(
x
)
=
x
sin
(
x
10
)
for
x
≠
0
x\neq0
x
=
0
and
p
(
0
)
=
0
p(0)=0
p
(
0
)
=
0
. Determine
lim
x
→
0
p
(
x
)
\displaystyle \lim_{x\to0}p(x)
x
→
0
lim
p
(
x
)
.
Browse the problem library