Home
Random
Log in
Settings
Donate
About Wikiversity
Disclaimers
Search
Continuity/R/x sine 1 over x/Exercise
Language
Watch
Edit
Show that the function
f
:
R
⟶
R
{\displaystyle f\colon \mathbb {R} \longrightarrow \mathbb {R} }
defined by
f
(
x
)
=
{
x
⋅
sin
1
x
for
x
≠
0
,
0
else
,
{\displaystyle {}f(x)={\begin{cases}x\cdot \sin {\frac {1}{x}}{\text{ for }}x\neq 0\,,\\0{\text{ else}}\,,\end{cases}}\,}
is
continuous
.
Is it possible to sketch the graph of this function?
Create a solution