Question

Uniform convergence of $\sum_{n=1}^{\infty} \frac{\sin(n x) \sin(n^2 x)}{n+x^2}$

score 4.3k · Answer 1 · 2026-04-16 16:38:10

4.3k

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Uniform convergence of $\sum_{n=1}^{\infty} \frac{\sin(n x) \sin(n^2 x)}{n+x^2}$

Published on 16 Apr 2026 - 16:38

score 4.4k · Answer 2 · 2026-04-13 13:09:12

4.4k

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About Uniform Convergence of $\sum_{n=1}^\infty\frac{\sin nx}{n}$ on $[0,2\pi]$

Published on 13 Apr 2026 - 13:09

score 149 · Answer 3 · 2026-04-11 00:08:40

149

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Does the following converge uniformly?

Published on 11 Apr 2026 - 0:08

score 1.5k · Answer 4 · 2026-04-15 11:50:45

1.5k

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Uniform convergence and Riemann integral; from compact $0<t<T<+\infty$ to $(0,+\infty)$ [Hint]

Published on 15 Apr 2026 - 11:50

score 54 · Answer 5 · 2026-04-16 21:20:17

$\sum_{j=1}^{n} f\left(\frac{j}{n}\right) \cdot \chi _{\left[\frac{j-1}{n},\frac{j}{n}\right)} \longrightarrow f$ converges uniformly

score 147 · Answer 6 · 2026-04-15 12:29:28

147

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Is $\sum_{n=1}^{\infty} {\frac{(-1)^n}{x+2^n}} $ in $(-2,\infty)$ uniformly convergent?

Published on 15 Apr 2026 - 12:29

score 5.4k · Answer 7 · 2026-04-14 02:32:28

5.4k

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Is $\sum_{n=1}^{\infty} {x^2 e^{-nx}}$ uniformly convergent in $[0,\infty)$

Published on 14 Apr 2026 - 2:32

score 63 · Answer 8 · 2026-04-16 10:21:06

63

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Does $\sum_{n=1}^{\infty} { \frac{(-1)^{\frac{n(n-1)}{2}}}{\sqrt[3]{n^2+e^x}} }$ uniformly converge in $(-\infty, \infty)$?

Published on 16 Apr 2026 - 10:21

score 325 · Answer 9 · 2026-04-16 10:20:05

325

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Does $f_{n}\left(x\right)=x\arctan\left(nx\right)$ converge uniformly?

Published on 16 Apr 2026 - 10:20

score 587 · Answer 10 · 2026-04-12 04:29:10

587

Views

Uniform convergence of composition of functions and integration

Published on 12 Apr 2026 - 4:29

score 207 · Answer 11 · 2026-04-17 07:50:37

207

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$f_{n+1}(x):= \int_a ^x f_n(t)dt$, $\sum_{m=1} ^{\infty} f_m(x)$ is uniformly convergent

Published on 17 Apr 2026 - 7:50

score 36.9k · Answer 12 · 2026-04-11 17:25:10

36.9k

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Pointwise but not Uniformly Convergent

Published on 11 Apr 2026 - 17:25

score 142 · Answer 13 · 2026-04-15 13:58:17

142

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Uniform convergence of series

Published on 15 Apr 2026 - 13:58

score 3.6k · Answer 14 · 2026-04-12 18:50:06

3.6k

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Uniform convergence of functions and intervals

Published on 12 Apr 2026 - 18:50

score 2.4k · Answer 15 · 2026-04-14 14:38:54

2.4k

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Uniform convergence of a power series

Published on 14 Apr 2026 - 14:38

List Question

Uniform convergence of $\sum_{n=1}^{\infty} \frac{\sin(n x) \sin(n^2 x)}{n+x^2}$

About Uniform Convergence of $\sum_{n=1}^\infty\frac{\sin nx}{n}$ on $[0,2\pi]$

Does the following converge uniformly?

Uniform convergence and Riemann integral; from compact $0<t<T<+\infty$ to $(0,+\infty)$ [Hint]

$\sum_{j=1}^{n} f\left(\frac{j}{n}\right) \cdot \chi _{\left[\frac{j-1}{n},\frac{j}{n}\right)} \longrightarrow f$ converges uniformly

Is $\sum_{n=1}^{\infty} {\frac{(-1)^n}{x+2^n}} $ in $(-2,\infty)$ uniformly convergent?

Is $\sum_{n=1}^{\infty} {x^2 e^{-nx}}$ uniformly convergent in $[0,\infty)$

Does $\sum_{n=1}^{\infty} { \frac{(-1)^{\frac{n(n-1)}{2}}}{\sqrt[3]{n^2+e^x}} }$ uniformly converge in $(-\infty, \infty)$?

Does $f_{n}\left(x\right)=x\arctan\left(nx\right)$ converge uniformly?

Uniform convergence of composition of functions and integration

$f_{n+1}(x):= \int_a ^x f_n(t)dt$, $\sum_{m=1} ^{\infty} f_m(x)$ is uniformly convergent

Pointwise but not Uniformly Convergent

Uniform convergence of series

Uniform convergence of functions and intervals

Uniform convergence of a power series

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