Question

Is $j_n(x)=\frac{x}{1+n^2x^2}$ uniformly convergent on $[0,1]$?

score 143 · Answer 1 · 2015-02-12 18:01:58

143

Views

Is $j_n(x)=\frac{x}{1+n^2x^2}$ uniformly convergent on $[0,1]$?

Published on 12 Feb 2015 - 18:01

score 31 · Answer 2 · 2015-02-12 21:35:04

31

Views

Is this (sketch of a) proof sound? Uniform cont.

Published on 12 Feb 2015 - 21:35

score 955 · Answer 3 · 2015-02-12 23:55:05

955

Views

$f:[0,\infty) \rightarrow \mathbb{R}$ is continuous, prove uniform continuity on $[0,\infty)$ given...

Published on 12 Feb 2015 - 23:55

score 29 · Answer 4 · 2015-02-14 21:53:05

29

Views

Need help with uniform continuity

Published on 14 Feb 2015 - 21:53

score 597 · Answer 5 · 2015-02-16 12:35:23

597

Views

Sketch the proof of $e^{-x^2}$ being uniformly continuous (proof is given)

Published on 16 Feb 2015 - 12:35

score 35 · Answer 6 · 2015-02-16 13:22:49

35

Views

Does this proof regarding uniform continuity make sense?

Published on 16 Feb 2015 - 13:22

score 61 · Answer 7 · 2015-02-17 22:17:57

61

Views

Consider the following statement regarding uniform continuity of a function

Published on 17 Feb 2015 - 22:17

score 593 · Answer 8 · 2015-02-18 02:47:21

593

Views

Equivalent forms of uniform continuity for a real function

Published on 18 Feb 2015 - 2:47

score 1k · Answer 9 · 2015-02-18 03:45:05

1k

Views

Is a uniformly continuous function always continuous? Does continuity imply uniform continuity?

Published on 18 Feb 2015 - 3:45

score 208 · Answer 10 · 2015-02-19 08:22:17

208

Views

Proving uniform continuity of sequence of functions

Published on 19 Feb 2015 - 8:22

score 237 · Answer 11 · 2015-02-21 07:01:44

237

Views

Show that $m(\Gamma)=0$, where $\Gamma$ is a curve $y=f(x)$

Published on 21 Feb 2015 - 7:01

score 560 · Answer 12 · 2015-02-24 12:00:36

560

Views

Theorem 4.20 in Baby Rudin: How is this map not uniformly continuous?

Published on 24 Feb 2015 - 12:00

score 896 · Answer 13 · 2015-02-24 12:55:47

896

Views

Theorem 4.20(c) in Baby Rudin: Is every continuous function whose domain is an unbounded subset of $\mathbb{R}$ uniformly continuous?

Published on 24 Feb 2015 - 12:55

score 437 · Answer 14 · 2015-02-24 13:16:12

437

Views

Example 4.21 in Baby Rudin: How is the map $f^{-1}$ not continuous at the point $(1,0) = f(0)$?

Published on 24 Feb 2015 - 13:16

score 122 · Answer 15 · 2015-02-24 16:39:10

122

Views

Is $f(x)=\frac{\cos \left(x\right)}{1+x^2}$ uniformly continuous?

Published on 24 Feb 2015 - 16:39

List Question

Is $j_n(x)=\frac{x}{1+n^2x^2}$ uniformly convergent on $[0,1]$?

Is this (sketch of a) proof sound? Uniform cont.

$f:[0,\infty) \rightarrow \mathbb{R}$ is continuous, prove uniform continuity on $[0,\infty)$ given...

Need help with uniform continuity

Sketch the proof of $e^{-x^2}$ being uniformly continuous (proof is given)

Does this proof regarding uniform continuity make sense?

Consider the following statement regarding uniform continuity of a function

Equivalent forms of uniform continuity for a real function

Is a uniformly continuous function always continuous? Does continuity imply uniform continuity?

Proving uniform continuity of sequence of functions

Show that $m(\Gamma)=0$, where $\Gamma$ is a curve $y=f(x)$

Theorem 4.20 in Baby Rudin: How is this map not uniformly continuous?

Theorem 4.20(c) in Baby Rudin: Is every continuous function whose domain is an unbounded subset of $\mathbb{R}$ uniformly continuous?

Example 4.21 in Baby Rudin: How is the map $f^{-1}$ not continuous at the point $(1,0) = f(0)$?

Is $f(x)=\frac{\cos \left(x\right)}{1+x^2}$ uniformly continuous?

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