Question

A problem of limit: $\lim\limits_{n\to \infty}\left\{\frac{(n+1)^{n}}{n!} \right\}^{(1/n)}$

score 130 · Answer 1 · 2026-04-15 09:04:33

130

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A problem of limit: $\lim\limits_{n\to \infty}\left\{\frac{(n+1)^{n}}{n!} \right\}^{(1/n)}$

Published on 15 Apr 2026 - 9:04

score 96 · Answer 2 · 2026-04-18 02:57:02

96

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Find $h(x) = x f(x)$, if $f (0) = -2$, and $f'(0) = 3$.

Published on 18 Apr 2026 - 2:57

score 238 · Answer 3 · 2026-04-16 08:47:37

238

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Compute $\lim_{n\rightarrow\infty}\frac{n^n}{(n!)^2}$

Published on 16 Apr 2026 - 8:47

score 58 · Answer 4 · 2026-04-15 23:42:52

58

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Computing the limit of the sequence : $ x_n = \prod_{i=1}^{n} 1 + a^{2i} $

Published on 15 Apr 2026 - 23:42

score 106 · Answer 5 · 2026-04-14 09:43:31

106

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What is the value of $\lim_{x\to \infty} \frac{a^x-1}{x}$ for a > 1

Published on 14 Apr 2026 - 9:43

score 158 · Answer 6 · 2026-04-15 21:10:06

158

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Calculate the limit: $\lim \limits_{n \rightarrow \infty } \frac {4(n+3)!-n!}{n((n+2)!-(n-1)!)}$

Published on 15 Apr 2026 - 21:10

score 68 · Answer 7 · 2026-04-16 23:33:23

68

Views

Showing that $\lim_{x \to1} \log(x)= 0$

Published on 16 Apr 2026 - 23:33

score 504 · Answer 8 · 2026-04-17 05:34:50

504

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Find $\lim\limits_{x\to 0}\frac{\tan x - x}{x^3}$

Published on 17 Apr 2026 - 5:34

score 174 · Answer 9 · 2026-04-12 17:46:43

174

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Find $\lim\limits_{n\to\infty}\sum\limits_{k=1}^n \frac{2k+1}{k^2(k+1)^2}$

Published on 12 Apr 2026 - 17:46

score 2.5k · Answer 10 · 2026-04-14 02:54:59

2.5k

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Why is the integral defined as the limit of the sum $\int_a^b f(x) dx = \lim_{n\to\infty}\sum_{i=1}^n f(x_i^*)\Delta x$?

Published on 14 Apr 2026 - 2:54

score 107 · Answer 11 · 2026-04-16 23:20:49

107

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Prove that $\lim _{x\to x_0} \sqrt{x}=\sqrt{x_0}\;$ for $x_0>0$

Published on 16 Apr 2026 - 23:20

score 51 · Answer 12 · 2026-04-16 15:06:17

51

Views

Prove that if $x_n → 2$, then $\frac1{x_n}→\frac12$

Published on 16 Apr 2026 - 15:06

score 64 · Answer 13 · 2026-04-12 18:10:50

64

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Limit of Integral of Random Variables Sequence

Published on 12 Apr 2026 - 18:10

score 278 · Answer 14 · 2026-04-13 17:49:59

278

Views

Why manipulation of $\epsilon$ is allowed in theorems related to limits in real analysis?

Published on 13 Apr 2026 - 17:49

score 79 · Answer 15 · 2026-04-13 00:02:26

79

Views

Limits of a fixed point iteration

Published on 13 Apr 2026 - 0:02

List Question

A problem of limit: $\lim\limits_{n\to \infty}\left\{\frac{(n+1)^{n}}{n!} \right\}^{(1/n)}$

Find $h(x) = x f(x)$, if $f (0) = -2$, and $f'(0) = 3$.

Compute $\lim_{n\rightarrow\infty}\frac{n^n}{(n!)^2}$

Computing the limit of the sequence : $ x_n = \prod_{i=1}^{n} 1 + a^{2i} $

What is the value of $\lim_{x\to \infty} \frac{a^x-1}{x}$ for a > 1

Calculate the limit: $\lim \limits_{n \rightarrow \infty } \frac {4(n+3)!-n!}{n((n+2)!-(n-1)!)}$

Showing that $\lim_{x \to1} \log(x)= 0$

Find $\lim\limits_{x\to 0}\frac{\tan x - x}{x^3}$

Find $\lim\limits_{n\to\infty}\sum\limits_{k=1}^n \frac{2k+1}{k^2(k+1)^2}$

Why is the integral defined as the limit of the sum $\int_a^b f(x) dx = \lim_{n\to\infty}\sum_{i=1}^n f(x_i^*)\Delta x$?

Prove that $\lim _{x\to x_0} \sqrt{x}=\sqrt{x_0}\;$ for $x_0>0$

Prove that if $x_n → 2$, then $\frac1{x_n}→\frac12$

Limit of Integral of Random Variables Sequence

Why manipulation of $\epsilon$ is allowed in theorems related to limits in real analysis?

Limits of a fixed point iteration

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