Question

Constructing a divergent sequence

score 97 · Answer 1 · 2026-03-25 18:43:44

97

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Constructing a divergent sequence

Published on 25 Mar 2026 - 18:43

score 151 · Answer 2 · 2018-02-08 12:00:27

151

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Mistake in proof Buck's Advanced Calculus?

Published on 08 Feb 2018 - 12:00

score 391 · Answer 3 · 2026-03-28 08:27:55

391

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The radius of an open ball

Published on 28 Mar 2026 - 8:27

score 352 · Answer 4 · 2026-04-03 17:21:24

352

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on Complex Integration $\int_{\gamma}\frac{dz}{z^{2}-1}$

Published on 03 Apr 2026 - 17:21

score 67 · Answer 5 · 2026-03-29 16:49:11

67

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Euclidean Metric on $\mathbb{R}$ - Section 1.2 Micheal Searcoid

Published on 29 Mar 2026 - 16:49

score 28 · Answer 6 · 2026-03-25 23:32:19

28

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When does an action on $X$ makes an well defined action on $L^{\infty}(X)$?

Published on 25 Mar 2026 - 23:32

score 74 · Answer 7 · 2026-03-25 14:14:46

74

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pointwise convergence uniqueness for complex functions

Published on 25 Mar 2026 - 14:14

score 532 · Answer 8 · 2026-03-25 07:45:48

532

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$X$ is the space of all continuous functions with the norm $||f||=\sup_{t\ge0}e^{kt}|f(t)|<\infty.$ Is $X$ a Banach space?

Published on 25 Mar 2026 - 7:45

score 55 · Answer 9 · 2026-03-31 20:33:23

55

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Complex Integral Function

Published on 31 Mar 2026 - 20:33

score 1.8k · Answer 10 · 2018-02-09 11:07:32

1.8k

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Show that if $\lim\limits_{x \to \infty} f(x)$ exists and $f''$ is bounded, then $\lim\limits_{x \to \infty} f'(x)=0$.

Published on 09 Feb 2018 - 11:07

score 196 · Answer 11 · 2018-02-09 14:42:14

196

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Pointwise and uniform convergence of $\sum_{n=0}^\infty \frac{x^n}{e^{nx}}, n \in \mathbb{N}$

Published on 09 Feb 2018 - 14:42

score 89 · Answer 12 · 2026-03-25 12:51:04

89

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Proving that $f^{(n)}(t) = p_n(1/t) e^{-1/t}, t\in(0, +\infty)$ where $p_n(x)$ is a polynomial of degree $\ge 2$.

Published on 25 Mar 2026 - 12:51

score 15 · Answer 13 · 2026-03-06 23:22:48

15

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If $P|x|^2 = \int |X|^2dP < \infty$ then there exists $M$ so that $P |x|^2 < (\frac{M}{2})^2 P[-\frac{1}{2}M, \frac{1}{2}M]$?

Published on 06 Mar 2026 - 23:22

score 165 · Answer 14 · 2026-03-24 22:01:57

165

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How to prove that $ \int_{0}^{\infty} x^n e^{-xt} \sin x\frac{dx}{x} =\frac{i(n-1)!}{2(1+t^2)^n}\left((t-i)^n-(t+i)^n\right)$

Published on 24 Mar 2026 - 22:01

score 630 · Answer 15 · 2018-02-09 18:53:37

630

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Error estimate for interpolation polynomial using derivative

Published on 09 Feb 2018 - 18:53

List Question

Constructing a divergent sequence

Mistake in proof Buck's Advanced Calculus?

The radius of an open ball

on Complex Integration $\int_{\gamma}\frac{dz}{z^{2}-1}$

Euclidean Metric on $\mathbb{R}$ - Section 1.2 Micheal Searcoid

When does an action on $X$ makes an well defined action on $L^{\infty}(X)$?

pointwise convergence uniqueness for complex functions

$X$ is the space of all continuous functions with the norm $||f||=\sup_{t\ge0}e^{kt}|f(t)|<\infty.$ Is $X$ a Banach space?

Complex Integral Function

Show that if $\lim\limits_{x \to \infty} f(x)$ exists and $f''$ is bounded, then $\lim\limits_{x \to \infty} f'(x)=0$.

Pointwise and uniform convergence of $\sum_{n=0}^\infty \frac{x^n}{e^{nx}}, n \in \mathbb{N}$

Proving that $f^{(n)}(t) = p_n(1/t) e^{-1/t}, t\in(0, +\infty)$ where $p_n(x)$ is a polynomial of degree $\ge 2$.

If $P|x|^2 = \int |X|^2dP < \infty$ then there exists $M$ so that $P |x|^2 < (\frac{M}{2})^2 P[-\frac{1}{2}M, \frac{1}{2}M]$?

How to prove that $ \int_{0}^{\infty} x^n e^{-xt} \sin x\frac{dx}{x} =\frac{i(n-1)!}{2(1+t^2)^n}\left((t-i)^n-(t+i)^n\right)$

Error estimate for interpolation polynomial using derivative

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