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Lebl-Basic-Analysis-I
· Problem 3.4.8
Continuous Functions
Mathematics · uniform-continuity
Problem
Show that
f
:
(
0
,
∞
)
→
R
f : (0, \infty) \to \mathbb{R}
f
:
(
0
,
∞
)
→
R
defined by
f
(
x
)
:
=
sin
(
1
/
x
)
f(x) := \sin(1/x)
f
(
x
)
:=
sin
(
1/
x
)
is not uniformly continuous.
Related theory
uniform-continuity
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