Question

uniform convergence of sequence of functions $f_n(x)=\frac{1}{1+n^2x^2}$

score 125 · Answer 1 · 2026-04-17 05:47:59

125

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uniform convergence of sequence of functions $f_n(x)=\frac{1}{1+n^2x^2}$

Published on 17 Apr 2026 - 5:47

score 470 · Answer 2 · 2026-04-17 12:00:45

470

Views

Proving uniform convergence on an unbounded interval

Published on 17 Apr 2026 - 12:00

score 402 · Answer 3 · 2026-04-15 05:39:31

402

Views

Uniform convergence of $\sum_{n=1}^{\infty}\frac{nx}{1+n^5x^2}$ verfication

Published on 15 Apr 2026 - 5:39

score 3.7k · Answer 4 · 2026-04-15 15:13:26

3.7k

Views

Given sequence of $L-$Lipschitz functions which converges pointwise, prove uniform convergence

Published on 15 Apr 2026 - 15:13

score 63 · Answer 5 · 2026-04-15 20:37:47

63

Views

continuity of $f(x)=\sum_1^{\infty}\left(x+\frac{1}{n^2}\right)^n$ verification

Published on 15 Apr 2026 - 20:37

score 164 · Answer 6 · 2026-04-15 05:51:51

164

Views

Equivalent statement for uniform convergence

Published on 15 Apr 2026 - 5:51

score 54 · Answer 7 · 2026-04-12 01:01:45

54

Views

Can the homotopy type change at the limit?

Published on 12 Apr 2026 - 1:01

score 853 · Answer 8 · 2026-04-14 18:16:17

853

Views

Correct use of Weierstrass M-test to show series is uniformly convergent

Published on 14 Apr 2026 - 18:16

score 276 · Answer 9 · 2026-04-11 15:36:02

276

Views

Approximating Polynomials Using the Müntz–Szász Theorem

Published on 11 Apr 2026 - 15:36

score 91 · Answer 10 · 2026-04-15 15:07:27

91

Views

Prove that $f_n\to f$ uniformly does not imply $f_n^2 \to f^2$ uniformly.

Published on 15 Apr 2026 - 15:07

score 243 · Answer 11 · 2026-04-15 07:37:31

243

Views

Check whether the following sequence of functions are uniformly convergent or not? $ (\sin(x))^n $, x $\in$ $ [0,π/2[$

Published on 15 Apr 2026 - 7:37

score 55 · Answer 12 · 2026-04-14 03:15:12

55

Views

Where is Boundedness Used?

Published on 14 Apr 2026 - 3:15

score 1.4k · Answer 13 · 2026-04-11 14:04:19

1.4k

Views

Differentiability of a Uniformly Convergent Series

Published on 11 Apr 2026 - 14:04

score 422 · Answer 14 · 2026-04-14 05:17:50

422

Views

Extending Uniform Convergence of Polynomials From $\left[0,1\right]$ to $\mathbb{\overline{\mathbb{D}}}$

Published on 14 Apr 2026 - 5:17

score 360 · Answer 15 · 2026-04-14 17:28:24

360

Views

Is there a sequence of real polynomials which converge uniformly on an interval in $\mathbb{R}$ but not on a rectangle in $\mathbb{C}$?

Published on 14 Apr 2026 - 17:28

List Question

uniform convergence of sequence of functions $f_n(x)=\frac{1}{1+n^2x^2}$

Proving uniform convergence on an unbounded interval

Uniform convergence of $\sum_{n=1}^{\infty}\frac{nx}{1+n^5x^2}$ verfication

Given sequence of $L-$Lipschitz functions which converges pointwise, prove uniform convergence

continuity of $f(x)=\sum_1^{\infty}\left(x+\frac{1}{n^2}\right)^n$ verification

Equivalent statement for uniform convergence

Can the homotopy type change at the limit?

Correct use of Weierstrass M-test to show series is uniformly convergent

Approximating Polynomials Using the Müntz–Szász Theorem

Prove that $f_n\to f$ uniformly does not imply $f_n^2 \to f^2$ uniformly.

Check whether the following sequence of functions are uniformly convergent or not? $ (\sin(x))^n $, x $\in$ $ [0,π/2[$

Where is Boundedness Used?

Differentiability of a Uniformly Convergent Series

Extending Uniform Convergence of Polynomials From $\left[0,1\right]$ to $\mathbb{\overline{\mathbb{D}}}$

Is there a sequence of real polynomials which converge uniformly on an interval in $\mathbb{R}$ but not on a rectangle in $\mathbb{C}$?

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