Question

Help calculating $\lim_{x \to \infty} \left( \sqrt{x + \sqrt{x}} - \sqrt{x - \sqrt{x}} \right)$

score 210 · Answer 1 · 2018-11-15 21:06:06

210

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Help calculating $\lim_{x \to \infty} \left( \sqrt{x + \sqrt{x}} - \sqrt{x - \sqrt{x}} \right)$

Published on 15 Nov 2018 - 21:06

score 219 · Answer 2 · 2018-11-15 22:44:21

219

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Evaluate $\lim \limits_{n \to \infty\ } \Biggl( \frac{2,7}{(1+\frac{1}{n})^n}\Biggr)^n=0?$

Published on 15 Nov 2018 - 22:44

score 409 · Answer 3 · 2018-11-16 14:19:21

409

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How to calculate this limit without L'Hopital rule?

Published on 16 Nov 2018 - 14:19

score 68 · Answer 4 · 2026-03-26 08:15:10

68

Views

Proof for sequence $\frac{n^5}{3^n} \rightarrow 0$

Published on 26 Mar 2026 - 8:15

score 67 · Answer 5 · 2018-11-17 10:35:27

67

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Evaluate $ \lim \limits_{n \to \infty\ }\frac{1}{n}\sqrt[n]{n^5+(n+1)^5+...+(2n)^5}$

Published on 17 Nov 2018 - 10:35

score 104 · Answer 6 · 2018-11-17 21:47:20

104

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Find the limit of $\frac{1}{1-\cos(x)}-\frac{2}{x^2}$ as $x$ approaches $0$

Published on 17 Nov 2018 - 21:47

score 130 · Answer 7 · 2018-11-18 06:04:18

130

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What am I doing wrong finding $\lim_{x\to 0} \left( \frac{1+x\cdot2^x}{1+x\cdot3^x} \right)^{1/x^2}$?

Published on 18 Nov 2018 - 6:04

score 96 · Answer 8 · 2018-11-18 18:50:25

96

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Evaluate $\lim \limits_{n \to \infty\ } n((n+1)^{\frac{1}{100}}-n^\frac{1}{100})$

Published on 18 Nov 2018 - 18:50

score 71 · Answer 9 · 2018-11-18 23:17:49

71

Views

Evaluting $\lim_{n \to \infty } \sqrt[n]{25n+n^3}$

Published on 18 Nov 2018 - 23:17

score 65 · Answer 10 · 2018-11-18 23:38:01

65

Views

$\lim \limits_{n \to \infty\ }\sqrt[n^n]{(3n)!+n^n}$

Published on 18 Nov 2018 - 23:38

score 235 · Answer 11 · 2018-11-19 10:34:55

235

Views

If $\lambda_n = \int_{0}^{1} \frac{dt}{(1+t)^n}$, for $n \in \mathbb{N}$, then $\,\lim_{n \to \infty} (\lambda_{n})^{1/n}=1.$

Published on 19 Nov 2018 - 10:34

score 268 · Answer 12 · 2018-11-19 10:47:10

268

Views

Sandwich Theorem not working?

Published on 19 Nov 2018 - 10:47

score 71 · Answer 13 · 2018-11-20 00:42:29

71

Views

Computing limit of $f(x) = x^{(\frac{1}{x} - 1)}$

Published on 20 Nov 2018 - 0:42

score 76 · Answer 14 · 2018-11-20 16:50:45

76

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Problems proving that $\lim\limits_{n \to \infty}\frac{2n}{n^3+1}=0 $

Published on 20 Nov 2018 - 16:50

score 50 · Answer 15 · 2018-11-20 22:31:13

50

Views

Limit of goniometric function without l'Hospital's rule

Published on 20 Nov 2018 - 22:31

List Question

Help calculating $\lim_{x \to \infty} \left( \sqrt{x + \sqrt{x}} - \sqrt{x - \sqrt{x}} \right)$

Evaluate $\lim \limits_{n \to \infty\ } \Biggl( \frac{2,7}{(1+\frac{1}{n})^n}\Biggr)^n=0?$

How to calculate this limit without L'Hopital rule?

Proof for sequence $\frac{n^5}{3^n} \rightarrow 0$

Evaluate $ \lim \limits_{n \to \infty\ }\frac{1}{n}\sqrt[n]{n^5+(n+1)^5+...+(2n)^5}$

Find the limit of $\frac{1}{1-\cos(x)}-\frac{2}{x^2}$ as $x$ approaches $0$

What am I doing wrong finding $\lim_{x\to 0} \left( \frac{1+x\cdot2^x}{1+x\cdot3^x} \right)^{1/x^2}$?

Evaluate $\lim \limits_{n \to \infty\ } n((n+1)^{\frac{1}{100}}-n^\frac{1}{100})$

Evaluting $\lim_{n \to \infty } \sqrt[n]{25n+n^3}$

$\lim \limits_{n \to \infty\ }\sqrt[n^n]{(3n)!+n^n}$

If $\lambda_n = \int_{0}^{1} \frac{dt}{(1+t)^n}$, for $n \in \mathbb{N}$, then $\,\lim_{n \to \infty} (\lambda_{n})^{1/n}=1.$

Sandwich Theorem not working?

Computing limit of $f(x) = x^{(\frac{1}{x} - 1)}$

Problems proving that $\lim\limits_{n \to \infty}\frac{2n}{n^3+1}=0 $

Limit of goniometric function without l'Hospital's rule

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