Question

If $f_n(x)$ uniformly converge to a positive function, then $\dfrac{1}{f_n(x)}\rightrightarrows\dfrac{1}{f(x)}$?

score 58 · Answer 1 · 2026-04-17 05:59:44

58

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If $f_n(x)$ uniformly converge to a positive function, then $\dfrac{1}{f_n(x)}\rightrightarrows\dfrac{1}{f(x)}$?

Published on 17 Apr 2026 - 5:59

score 176 · Answer 2 · 2026-04-11 22:22:01

176

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Egorov Like Theorem, Finding a Sequence of Sets where Uniform Convergence Holds

Published on 11 Apr 2026 - 22:22

score 714 · Answer 3 · 2026-04-12 14:04:58

714

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Uniform convergence vs convergence in supremum norm

Published on 12 Apr 2026 - 14:04

score 358 · Answer 4 · 2026-04-11 03:19:01

358

Views

Lp space on open vs. closed interval

Published on 11 Apr 2026 - 3:19

score 44 · Answer 5 · 2026-04-16 04:43:19

44

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Prove that $(\mathcal{C}^{(1)}([a,b]),||\cdot||^{(1)})$ is a Banach Space

Published on 16 Apr 2026 - 4:43

score 414 · Answer 6 · 2026-04-15 13:47:56

414

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A MCQ question about Fourier series appeared in NBHM PhD entrance $2018.$

Published on 15 Apr 2026 - 13:47

score 92 · Answer 7 · 2026-04-16 20:34:13

92

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Let $f_n: \Omega\to \mathbb{C}$ is a Cauchy sequence in the supremum norm $||.||$. Check the uniform convergence of $(f_n)$

Published on 16 Apr 2026 - 20:34

score 99 · Answer 8 · 2026-04-13 16:54:45

99

Views

Interchanging limit and derivative of a sequence of complex-valued functions

Published on 13 Apr 2026 - 16:54

score 166 · Answer 9 · 2026-04-16 02:56:09

166

Views

Proving uniform convergence of an infinite series using complex function

Published on 16 Apr 2026 - 2:56

score 144 · Answer 10 · 2026-04-14 23:10:15

144

Views

Why is uniform convergence not necessary in Lebesgue convergence theorems?

Published on 14 Apr 2026 - 23:10

score 271 · Answer 11 · 2026-04-09 18:57:04

271

Views

An unbounded limit function for a sequence of bounded continuous functions.

Published on 09 Apr 2026 - 18:57

score 88 · Answer 12 · 2026-04-16 19:57:59

88

Views

Prove $\sum_{n=1}^\infty f_n$ converges uniformly if and only if $\sum_{n = M}^\infty f_n$ converges uniformly

Published on 16 Apr 2026 - 19:57

score 59 · Answer 13 · 2026-04-14 03:14:59

59

Views

converge in distribution imply converge of moments for ${x_i}$ that satiefies the Lyapunov condition?

Published on 14 Apr 2026 - 3:14

score 113 · Answer 14 · 2026-04-13 22:24:53

113

Views

Uniform convergence of a series $\sum _{n=1}^{\infty}3^{-n}\sin (nz)$

Published on 13 Apr 2026 - 22:24

score 75 · Answer 15 · 2026-04-15 11:53:23

75

Views

Discuss the pointwise and uniform convergence

Published on 15 Apr 2026 - 11:53

List Question

If $f_n(x)$ uniformly converge to a positive function, then $\dfrac{1}{f_n(x)}\rightrightarrows\dfrac{1}{f(x)}$?

Egorov Like Theorem, Finding a Sequence of Sets where Uniform Convergence Holds

Uniform convergence vs convergence in supremum norm

Lp space on open vs. closed interval

Prove that $(\mathcal{C}^{(1)}([a,b]),||\cdot||^{(1)})$ is a Banach Space

A MCQ question about Fourier series appeared in NBHM PhD entrance $2018.$

Let $f_n: \Omega\to \mathbb{C}$ is a Cauchy sequence in the supremum norm $||.||$. Check the uniform convergence of $(f_n)$

Interchanging limit and derivative of a sequence of complex-valued functions

Proving uniform convergence of an infinite series using complex function

Why is uniform convergence not necessary in Lebesgue convergence theorems?

An unbounded limit function for a sequence of bounded continuous functions.

Prove $\sum_{n=1}^\infty f_n$ converges uniformly if and only if $\sum_{n = M}^\infty f_n$ converges uniformly

converge in distribution imply converge of moments for ${x_i}$ that satiefies the Lyapunov condition?

Uniform convergence of a series $\sum _{n=1}^{\infty}3^{-n}\sin (nz)$

Discuss the pointwise and uniform convergence

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