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Lebl-Basic-Analysis-I
· Problem 3.4.2
Continuous Functions
Mathematics · uniform-continuity
Problem
Let
f
:
(
a
,
b
)
→
R
f : (a, b) \to \mathbb{R}
f
:
(
a
,
b
)
→
R
be a uniformly continuous function. Finish the proof of Proposition 3.4.6 by showing that the limit
lim
x
→
b
f
(
x
)
\lim_{x \to b} f(x)
lim
x
→
b
f
(
x
)
exists.
Related theory
uniform-continuity
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