Question

$x^n/(1+x^n) $is monotonic

score 88 · Answer 1 · 2026-03-28 23:57:46

88

Views

$x^n/(1+x^n) $is monotonic

Published on 28 Mar 2026 - 23:57

score 17 · Answer 2 · 2024-02-20 14:33:00

17

Views

conditions of dirichlet and dini's thereom be simply monotonic?

Published on 20 Feb 2024 - 14:33

score 41 · Answer 3 · 2026-03-30 08:55:19

41

Views

Exchanging limit and inferior limit

Published on 30 Mar 2026 - 8:55

score 109 · Answer 4 · 2026-04-01 00:26:53

109

Views

Convergence in $L_p$ norm of minimum of uniform random variables, $Y_1=\min\left\{X_1,\ldots,X_n\right\}$ with $X_i\sim U(0,1)$

Published on 01 Apr 2026 - 0:26

score 40 · Answer 5 · 2026-02-24 22:28:41

40

Views

What is the limit function of $f_n(x) := \begin{cases} (x-n+1)(n+1-x): n-1 < x < n+1\\ 0: x \leq n-1 \lor x \geq n+1 \end{cases}$?

Published on 24 Feb 2026 - 22:28

score 42 · Answer 6 · 2024-03-04 11:48:36

42

Views

Uniform convergence of $f_{n}(x)=\sqrt{nx}\arctan\left(\frac{1}{nx}\right)$ on $x>0$

Published on 04 Mar 2024 - 11:48

score 59 · Answer 7 · 2026-03-29 03:21:49

59

Views

Proving the sequence of harmonic function uniformly converges on compact sets.

Published on 29 Mar 2026 - 3:21

score 23 · Answer 8 · 2026-02-23 15:30:44

23

Views

Showing this sequence of functions not equicontinuous

Published on 23 Feb 2026 - 15:30

score 21 · Answer 9 · 2024-03-06 03:20:47

21

Views

If $\forall c>0$, $\int_c^\infty|f_n|dx\to0$ and $\int_{-\infty}^{-c}|f_n|dx\to0$, then $f_n\to0$ uniformly on $(-\infty,-c]\cup[c,\infty)$?

Published on 06 Mar 2024 - 3:20

score 41 · Answer 10 · 2026-02-24 22:33:45

41

Views

Uniform convergence of a series of functions depending upon a parameter

Published on 24 Feb 2026 - 22:33

score 84 · Answer 11 · 2026-02-25 00:13:56

84

Views

Alternative proof for Dini's theorem. Is it correct?

Published on 25 Feb 2026 - 0:13

score 22 · Answer 12 · 2026-03-31 20:07:46

22

Views

How to construct a complex function series that converges uniformly on a closed region but its derivative does not converge uniformly on the boundary?

Published on 31 Mar 2026 - 20:07

score 31 · Answer 13 · 2026-02-23 15:32:45

31

Views

Equicontinuous curves on compact Riemannian manifold have uniform convergent subsequence?

Published on 23 Feb 2026 - 15:32

score 77 · Answer 14 · 2024-03-16 01:25:17

77

Views

Proving that the series $\sum_{n=1}^{\infty}f_n(1)$ converges

Published on 16 Mar 2024 - 1:25

score 44 · Answer 15 · 2024-03-21 15:45:22

44

Views

What is the meaning of "uniformly" in the limit of a function of two variables?

Published on 21 Mar 2024 - 15:45

List Question

$x^n/(1+x^n) $is monotonic

conditions of dirichlet and dini's thereom be simply monotonic?

Exchanging limit and inferior limit

Convergence in $L_p$ norm of minimum of uniform random variables, $Y_1=\min\left\{X_1,\ldots,X_n\right\}$ with $X_i\sim U(0,1)$

What is the limit function of $f_n(x) := \begin{cases} (x-n+1)(n+1-x): n-1 < x < n+1\\ 0: x \leq n-1 \lor x \geq n+1 \end{cases}$?

Uniform convergence of $f_{n}(x)=\sqrt{nx}\arctan\left(\frac{1}{nx}\right)$ on $x>0$

Proving the sequence of harmonic function uniformly converges on compact sets.

Showing this sequence of functions not equicontinuous

If $\forall c>0$, $\int_c^\infty|f_n|dx\to0$ and $\int_{-\infty}^{-c}|f_n|dx\to0$, then $f_n\to0$ uniformly on $(-\infty,-c]\cup[c,\infty)$?

Uniform convergence of a series of functions depending upon a parameter

Alternative proof for Dini's theorem. Is it correct?

How to construct a complex function series that converges uniformly on a closed region but its derivative does not converge uniformly on the boundary?

Equicontinuous curves on compact Riemannian manifold have uniform convergent subsequence?

Proving that the series $\sum_{n=1}^{\infty}f_n(1)$ converges

What is the meaning of "uniformly" in the limit of a function of two variables?

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