Question

Calculating a multivariable limit $\lim_{(x,y,z)->(1,\ln3,\pi)}e^{xy\cos(z)}$

score 138 · Answer 1 · 2026-05-14 05:00:08

138

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Calculating a multivariable limit $\lim_{(x,y,z)->(1,\ln3,\pi)}e^{xy\cos(z)}$

Published on 14 May 2026 - 5:00

score 79 · Answer 2 · 2026-04-17 09:29:15

79

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$1+1/2+...+1/n=\log n + c + o(1)$ as $n\to\infty$

Published on 17 Apr 2026 - 9:29

score 965 · Answer 3 · 2026-04-16 11:24:40

965

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Limit of $\ \lim_{x \to \frac{\pi}{4}} \frac{\tan x-1}{x-\pi/4} $ without l'hopital's

Published on 16 Apr 2026 - 11:24

score 170 · Answer 4 · 2026-04-15 12:55:30

170

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Rigor in showing limit of $\frac{\cos(\Delta x)-1}{\Delta x}=0$

Published on 15 Apr 2026 - 12:55

score 93 · Answer 5 · 2026-04-15 17:21:48

93

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What is $\lim_{x \to \infty} 0^{\frac{1}{x}}$? Is it 0 or 1 or is it an invalid limit?

Published on 15 Apr 2026 - 17:21

score 1.7k · Answer 6 · 2026-04-14 16:47:07

1.7k

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What is the limit of $ \lim_{x\to 0}( \sin(x)/x )^{1/(1-\cos x)} $

Published on 14 Apr 2026 - 16:47

score 274 · Answer 7 · 2026-04-09 21:55:36

274

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Confusion in applying Cauchy's Theorem of limits

Published on 09 Apr 2026 - 21:55

score 163 · Answer 8 · 2026-04-16 03:51:38

163

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What is $\lim_{n \to \infty} \left(\tfrac12 + \tfrac12\cos(\pi \, n! \, x)\right)^n$?

Published on 16 Apr 2026 - 3:51

score 78 · Answer 9 · 2026-04-12 03:35:35

78

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limit of an annoying definite integral

Published on 12 Apr 2026 - 3:35

score 134 · Answer 10 · 2026-04-14 06:37:43

134

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Is it correct to say that a decaying oscillation goes to zero?

Published on 14 Apr 2026 - 6:37

score 350 · Answer 11 · 2026-04-13 17:40:43

350

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Limit of $\frac{\sqrt[n]{n!}}{n}$ using Stolz-Cesáro

Published on 13 Apr 2026 - 17:40

score 256 · Answer 12 · 2026-04-14 22:18:28

256

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Evaluate $\lim\big(\frac{1}{n+1}+\frac{1}{n+2}+\ldots+\frac{1}{2n}\big)$ using sequential methods

Published on 14 Apr 2026 - 22:18

score 47 · Answer 13 · 2026-04-13 03:44:04

47

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Show that the limit $a^x/x \to \infty$ when $a>1$ and $x \to \infty$

Published on 13 Apr 2026 - 3:44

score 70 · Answer 14 · 2026-04-13 18:33:39

70

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$ \lim_{n \to \infty} \frac{(-1)^n(3-n)}{(3n-5)}$ and ...

Published on 13 Apr 2026 - 18:33

score 74 · Answer 15 · 2026-04-15 17:42:30

74

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Doubts in showing following $\lim_{n\to \infty}p^{1/n}=1$

Published on 15 Apr 2026 - 17:42

List Question

Calculating a multivariable limit $\lim_{(x,y,z)->(1,\ln3,\pi)}e^{xy\cos(z)}$

$1+1/2+...+1/n=\log n + c + o(1)$ as $n\to\infty$

Limit of $\ \lim_{x \to \frac{\pi}{4}} \frac{\tan x-1}{x-\pi/4} $ without l'hopital's

Rigor in showing limit of $\frac{\cos(\Delta x)-1}{\Delta x}=0$

What is $\lim_{x \to \infty} 0^{\frac{1}{x}}$? Is it 0 or 1 or is it an invalid limit?

What is the limit of $ \lim_{x\to 0}( \sin(x)/x )^{1/(1-\cos x)} $

Confusion in applying Cauchy's Theorem of limits

What is $\lim_{n \to \infty} \left(\tfrac12 + \tfrac12\cos(\pi \, n! \, x)\right)^n$?

limit of an annoying definite integral

Is it correct to say that a decaying oscillation goes to zero?

Limit of $\frac{\sqrt[n]{n!}}{n}$ using Stolz-Cesáro

Evaluate $\lim\big(\frac{1}{n+1}+\frac{1}{n+2}+\ldots+\frac{1}{2n}\big)$ using sequential methods

Show that the limit $a^x/x \to \infty$ when $a>1$ and $x \to \infty$

$ \lim_{n \to \infty} \frac{(-1)^n(3-n)}{(3n-5)}$ and ...

Doubts in showing following $\lim_{n\to \infty}p^{1/n}=1$

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