Question

Computing the limit $\lim_{n\to\infty} (n^3x^{3/4})/(1+n^4x^2)$

score 71 · Answer 1 · 2026-02-23 23:05:08

71

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Computing the limit $\lim_{n\to\infty} (n^3x^{3/4})/(1+n^4x^2)$

Published on 23 Feb 2026 - 23:05

score 22 · Answer 2 · 2019-10-01 19:19:47

22

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To test for uniform convergence of the following function

Published on 01 Oct 2019 - 19:19

score 322 · Answer 3 · 2014-03-11 18:05:09

322

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Power series centered at $x =0$

Published on 11 Mar 2014 - 18:05

score 985 · Answer 4 · 2014-03-12 22:09:28

985

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Showing if $f_n \to f$ uniformly and each $f_n$ has at most $10$ discontinuities, then so does $f$

Published on 12 Mar 2014 - 22:09

score 2.4k · Answer 5 · 2026-03-25 14:23:53

2.4k

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sequence uniformly convergent on the boundary of a bounded set in $\mathbb{C}$

Published on 25 Mar 2026 - 14:23

score 1.9k · Answer 6 · 2014-03-16 14:58:33

1.9k

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Showing the power series of $\cos(x)$ converges uniformly to $\cos(x)$ on every bounded interval

Published on 16 Mar 2014 - 14:58

score 203 · Answer 7 · 2014-03-16 16:29:27

203

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If $f_n \to f$ pointwise a.e. and $g_n \to g$ uniformly then $g(f_n) \to g(f)$ pointwise a.e?

Published on 16 Mar 2014 - 16:29

score 79 · Answer 8 · 2014-03-17 18:37:53

79

Views

modern analysis: limits, integrals, uniform

Published on 17 Mar 2014 - 18:37

score 176 · Answer 9 · 2014-03-19 21:01:18

176

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Uniform Convergence of Series Implies Uniform Convergence of the Related Sequence

Published on 19 Mar 2014 - 21:01

score 88 · Answer 10 · 2014-03-20 13:30:03

88

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If $f_n \to f$ uniformly a.e. and $u_n \to u$ a.e., does $f_n(u_n) \to f(u)$ a.e.?

Published on 20 Mar 2014 - 13:30

score 58 · Answer 11 · 2014-03-23 14:56:59

58

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Does the following limit hold uniformly for all $f$ in a function space $X$?

Published on 23 Mar 2014 - 14:56

score 214 · Answer 12 · 2014-03-24 12:29:32

214

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Show that $f_n(\cdot):[0,1]\rightarrow \Bbb R$, $f_n(x)=x^n(1-x^n)$ is simple convergent, but not uniform convergent.

Published on 24 Mar 2014 - 12:29

score 198 · Answer 13 · 2014-03-25 12:07:41

198

Views

Complex Weierstrass M-test question.

Published on 25 Mar 2014 - 12:07

score 130 · Answer 14 · 2014-03-30 09:12:50

130

Views

uniform convergence sequence

Published on 30 Mar 2014 - 9:12

score 3.2k · Answer 15 · 2014-03-31 16:26:09

3.2k

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If a sequence of continuous functions converges pointwise to a continuous function on $ [a,b] $, it converges uniformly

Published on 31 Mar 2014 - 16:26

List Question

Computing the limit $\lim_{n\to\infty} (n^3x^{3/4})/(1+n^4x^2)$

To test for uniform convergence of the following function

Power series centered at $x =0$

Showing if $f_n \to f$ uniformly and each $f_n$ has at most $10$ discontinuities, then so does $f$

sequence uniformly convergent on the boundary of a bounded set in $\mathbb{C}$

Showing the power series of $\cos(x)$ converges uniformly to $\cos(x)$ on every bounded interval

If $f_n \to f$ pointwise a.e. and $g_n \to g$ uniformly then $g(f_n) \to g(f)$ pointwise a.e?

modern analysis: limits, integrals, uniform

Uniform Convergence of Series Implies Uniform Convergence of the Related Sequence

If $f_n \to f$ uniformly a.e. and $u_n \to u$ a.e., does $f_n(u_n) \to f(u)$ a.e.?

Does the following limit hold uniformly for all $f$ in a function space $X$?

Show that $f_n(\cdot):[0,1]\rightarrow \Bbb R$, $f_n(x)=x^n(1-x^n)$ is simple convergent, but not uniform convergent.

Complex Weierstrass M-test question.

uniform convergence sequence

If a sequence of continuous functions converges pointwise to a continuous function on $ [a,b] $, it converges uniformly

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