List questions from uniform-convergence

Published on 10 Apr 2026 - 21:25

112

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Uniform convergence of functional series on interval

Published on 14 Apr 2026 - 6:35

243

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Integral Metric on $C([0,1])$

Published on 10 May 2026 - 23:03

62

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Question about different topologies on spaces of continuous functions.

Published on 08 Apr 2026 - 3:40

589

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Uniform continuity of series

Published on 11 May 2026 - 5:03

68

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Showing $\dfrac{e^{-nx}}{n} < \epsilon$

Published on 16 Apr 2026 - 0:13

72

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uniform convergence of $g_n(x)=\frac{x}{n^2}e^{-\frac{x}{n}}$

Published on 16 Apr 2026 - 13:16

605

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Find an example of a sequence of functions $\{f_n\}$ and $\{g_n\}$

Published on 17 Apr 2026 - 0:39

778

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There exists $\{f_n\}$ as above that converges to $0$ uniformly on $[0,1]$.

Published on 09 Apr 2026 - 10:03

498

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Show that $f_n(x)=|x||x|^{1/n}$ is differentiable at $x\in [-1,1].$

Published on 16 Apr 2026 - 19:08

1.3k

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Show that $\{f_n\}$ converges uniformly to some continuously differentiable function $f:[a,b]\to R.$

Published on 16 Apr 2026 - 12:41

27

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Determine whether the functional series is uniformly convergent

Published on 11 Apr 2026 - 19:59

45

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Determine whether the functional sequence is uniformly convergent.

Published on 09 Apr 2026 - 10:06

255

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the convergence of $\int_0^\infty t^{2k}e^{-xt^2}dt $ being uniform on $[\delta,\infty)$ for $\delta\gt 0$

Published on 16 Apr 2026 - 1:15

203

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Continuity and Uniform Convergence of $f_n$ Implies Uniform Convergence of $f_n^2$

Published on 17 Apr 2026 - 13:40

List Question

How to show the following series converges?

Uniform convergence of functional series on interval

Integral Metric on $C([0,1])$

Question about different topologies on spaces of continuous functions.

Uniform continuity of series

Showing $\dfrac{e^{-nx}}{n} < \epsilon$

uniform convergence of $g_n(x)=\frac{x}{n^2}e^{-\frac{x}{n}}$

Find an example of a sequence of functions $\{f_n\}$ and $\{g_n\}$

There exists $\{f_n\}$ as above that converges to $0$ uniformly on $[0,1]$.

Show that $f_n(x)=|x||x|^{1/n}$ is differentiable at $x\in [-1,1].$

Show that $\{f_n\}$ converges uniformly to some continuously differentiable function $f:[a,b]\to R.$

Determine whether the functional series is uniformly convergent

Determine whether the functional sequence is uniformly convergent.

the convergence of $\int_0^\infty t^{2k}e^{-xt^2}dt $ being uniform on $[\delta,\infty)$ for $\delta\gt 0$

Continuity and Uniform Convergence of $f_n$ Implies Uniform Convergence of $f_n^2$

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