List questions from uniform-convergence

Published on 15 Apr 2026 - 17:40

53

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Finding points at which the following series is continuously differentiable.

Published on 12 Apr 2026 - 13:30

350

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Showing the following series is uniformly convergent

Published on 16 Apr 2026 - 23:33

1.1k

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Finding Limit of an Integral: $\lim_{n\to\infty}\int_a^b f(x)\sin^3{(nx)} \:dx$

Published on 15 Apr 2026 - 7:43

461

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Uniform convergence of sequence of functions on every compact subset

Published on 14 Apr 2026 - 1:25

177

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Pick out the sequences which are uniformly convergent:

Published on 14 Apr 2026 - 0:02

47

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A question about uniform convergent series

Published on 14 Apr 2026 - 6:19

78

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Is $f_n=\frac{f(x+\frac{1}{n})-f(x)}{\frac{1}{n}}$ uniformly convergent?

Published on 15 Apr 2026 - 2:37

543

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Exchanging the limit of a contour integral

Published on 13 Apr 2026 - 18:09

89

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If $f_n \rightarrow f$ uniformly and $f$ is continuous is $f_n$ continuous for all $n$?

Published on 16 Apr 2026 - 14:02

50

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Determine the values of $a$ in the series $\sum_{n=0}^{\infty} x^{a}e^{-nx}$ for which $s(x)$ is continuous on $[0,\infty)$

Published on 15 Apr 2026 - 5:37

77

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Prove for some function $\forall x\in\mathbb R, f(x)=0$.

Published on 14 Apr 2026 - 16:15

675

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Uniform convergence of some sequences of indicator functions in $\mathbb{R}$

Published on 16 Apr 2026 - 6:15

1.4k

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Examples of a uniformly convergent sequence of functions with the given property

Published on 16 Apr 2026 - 7:18

30

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A question on a condition potentially implying uniform convergence

Published on 14 Apr 2026 - 11:47

List Question

Does $f_n(x)=(\frac{2-x}{3})^n $ converge uniformly on $[-1,4]$?

Finding points at which the following series is continuously differentiable.

Showing the following series is uniformly convergent

Finding Limit of an Integral: $\lim_{n\to\infty}\int_a^b f(x)\sin^3{(nx)} \:dx$

Uniform convergence of sequence of functions on every compact subset

Pick out the sequences which are uniformly convergent:

A question about uniform convergent series

Is $f_n=\frac{f(x+\frac{1}{n})-f(x)}{\frac{1}{n}}$ uniformly convergent?

Exchanging the limit of a contour integral

If $f_n \rightarrow f$ uniformly and $f$ is continuous is $f_n$ continuous for all $n$?

Determine the values of $a$ in the series $\sum_{n=0}^{\infty} x^{a}e^{-nx}$ for which $s(x)$ is continuous on $[0,\infty)$

Prove for some function $\forall x\in\mathbb R, f(x)=0$.

Uniform convergence of some sequences of indicator functions in $\mathbb{R}$

Examples of a uniformly convergent sequence of functions with the given property

A question on a condition potentially implying uniform convergence

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