Question

How to show that $\lim_{N\to\infty}\int_{|x|>N} |x|^3e^{-4x^2} dx=0$?

score 31 · Answer 1 · 2026-04-24 07:01:36

31

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How to show that $\lim_{N\to\infty}\int_{|x|>N} |x|^3e^{-4x^2} dx=0$?

Published on 24 Apr 2026 - 7:01

score 2.1k · Answer 2 · 2026-04-14 15:01:55

2.1k

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Shortest Distance Around Cone

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score 283 · Answer 3 · 2026-04-16 10:19:43

283

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Does anyone know a simple proof of $\lim_{x\rightarrow\infty} x\int_0^1 t^{x t} dt = 1$

Published on 16 Apr 2026 - 10:19

score 81 · Answer 4 · 2026-04-14 20:16:09

81

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Finding $\lim\limits_{n→∞}\frac{n^p \sin^2(n!)}{n+1}$

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score 101 · Answer 5 · 2026-04-18 04:54:05

101

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Find $\lim_{x \to \infty} (-1)^{x-1}\sin(\pi\sqrt{x^2+0.5x+1})$ with $x\in\mathbb{N}$

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score 80 · Answer 6 · 2026-04-29 03:20:19

80

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Evaluate $\underset {x \to \infty}{\lim} \frac{ \ln \lfloor x \rfloor}{\lfloor x \rfloor}$

Published on 29 Apr 2026 - 3:20

score 182 · Answer 7 · 2026-04-16 22:46:54

182

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Published on 16 Apr 2026 - 22:46

score 504 · Answer 8 · 2026-04-16 03:49:19

504

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For what values of $m$ is $\frac{y^{m}(1-\cos x)}{x^{4}+2y^{2}}$ continuous at $(0,0)$?

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score 65 · Answer 9 · 2026-04-14 04:58:58

65

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score 116 · Answer 10 · 2026-04-14 14:16:09

116

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How to prove that $n^n \times n! \times (\sqrt{2})^{n}\le (2n)! $

Published on 14 Apr 2026 - 14:16

score 101 · Answer 11 · 2026-04-15 13:15:58

101

Views

How to show that $\lim_{x\to 0} (1+x)^{1/x}$ is same as $\lim_{x\to +\infty} (1+1/x)^{x}$?

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score 96 · Answer 12 · 2026-04-12 09:55:10

96

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score 40 · Answer 13 · 2026-04-12 03:35:49

40

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limit of a (system) function

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score 98 · Answer 14 · 2026-04-24 08:09:00

98

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score 2.3k · Answer 15 · 2026-04-14 15:30:21

2.3k

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List Question

How to show that $\lim_{N\to\infty}\int_{|x|>N} |x|^3e^{-4x^2} dx=0$?

Shortest Distance Around Cone

Does anyone know a simple proof of $\lim_{x\rightarrow\infty} x\int_0^1 t^{x t} dt = 1$

Finding $\lim\limits_{n→∞}\frac{n^p \sin^2(n!)}{n+1}$

Find $\lim_{x \to \infty} (-1)^{x-1}\sin(\pi\sqrt{x^2+0.5x+1})$ with $x\in\mathbb{N}$

Evaluate $\underset {x \to \infty}{\lim} \frac{ \ln \lfloor x \rfloor}{\lfloor x \rfloor}$

Evaluating $\lim\limits_{x→∞}\left(\frac{P(x)}{5(x-1)}\right)^x$

For what values of $m$ is $\frac{y^{m}(1-\cos x)}{x^{4}+2y^{2}}$ continuous at $(0,0)$?

Limit of sequence as $n$ goes to infinity with $n$ in every term

How to prove that $n^n \times n! \times (\sqrt{2})^{n}\le (2n)! $

How to show that $\lim_{x\to 0} (1+x)^{1/x}$ is same as $\lim_{x\to +\infty} (1+1/x)^{x}$?

In defining the derivative, what definition of a limit is being used?

limit of a (system) function

Limit of successive approximation

Proving discontinuity and continuity of floor function

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