Question

Calculating the limit of $\lim\limits_{n \to \infty} (\frac{1}{n+1} + \frac{1}{n+2} + \frac{1}{n+3} + ...+\frac{1}{2n})$

score 266 · Answer 1 · 2020-05-08 17:17:16

266

Views

Calculating the limit of $\lim\limits_{n \to \infty} (\frac{1}{n+1} + \frac{1}{n+2} + \frac{1}{n+3} + ...+\frac{1}{2n})$

Published on 08 May 2020 - 17:17

score 233 · Answer 2 · 2020-05-12 04:23:22

233

Views

Finding $\lim\limits_{n→∞}n\cos x\cos(\cos x)\cdots\underbrace{\cos(\cos(\cdots(\cos x)))}_{n\text{ times of }\cos}$

Published on 12 May 2020 - 4:23

score 32 · Answer 3 · 2020-05-12 07:23:21

32

Views

evaluating limit of infinite iterations of an exponential function.

Published on 12 May 2020 - 7:23

score 201 · Answer 4 · 2026-02-24 07:02:12

201

Views

Finding the Pointwise Limit of a Function

Published on 24 Feb 2026 - 7:02

score 40 · Answer 5 · 2020-05-12 17:43:46

40

Views

Find the limit of the given expression

Published on 12 May 2020 - 17:43

score 179 · Answer 6 · 2026-03-30 02:06:48

179

Views

Proving that a limit has been incorrectly evaluated, using the epsilon-delta definition of a limit

Published on 30 Mar 2026 - 2:06

score 230 · Answer 7 · 2020-05-13 10:30:36

230

Views

Taylor's formula - infinitesimal generator

Published on 13 May 2020 - 10:30

score 110 · Answer 8 · 2020-05-13 17:05:50

110

Views

Tricky multivariable limit

Published on 13 May 2020 - 17:05

score 107 · Answer 9 · 2020-05-14 11:13:04

107

Views

Evaluating limit of exponential function of rational function.

Published on 14 May 2020 - 11:13

score 171 · Answer 10 · 2020-05-15 07:20:38

171

Views

$\lim_\limits{x\to 0^{+}} \frac{\arcsin(1-\{x\})\arccos(1-\{x\})}{\sqrt{2\{x\}}(1-\{x\})}$

Published on 15 May 2020 - 7:20

score 260 · Answer 11 · 2020-05-16 05:50:28

260

Views

Finding $\lim_{n\to\infty} \left(\frac{\sqrt{n^2+n}-1}{n}\right)^{2\sqrt{n^2+n}-1}$

Published on 16 May 2020 - 5:50

score 74 · Answer 12 · 2020-05-16 13:48:07

74

Views

Finding $\lim_{x\to a} \frac{1}{(a^2-x^2)^2}(\frac{a^2+x^2}{ax}-2\sin( \frac{a\pi}{2})\sin(\frac{x\pi}{2}))$

Published on 16 May 2020 - 13:48

score 59 · Answer 13 · 2020-05-16 17:19:18

59

Views

How can I prove that I can assume $\sin{x}, \tan{x}$ to be x when $x \rightarrow 0$

Published on 16 May 2020 - 17:19

score 219 · Answer 14 · 2026-03-30 03:50:15

219

Views

Michael Spivak Calculus Limits problem proof verification

Published on 30 Mar 2026 - 3:50

score 2k · Answer 15 · 2020-05-18 04:58:15

2k

Views

$\lim_\limits{x\to 0}\frac{ax^2+\sin bx+\sin cx +\sin dx}{3x^2+5x^4+7x^6}=8$

Published on 18 May 2020 - 4:58

List Question

Calculating the limit of $\lim\limits_{n \to \infty} (\frac{1}{n+1} + \frac{1}{n+2} + \frac{1}{n+3} + ...+\frac{1}{2n})$

Finding $\lim\limits_{n→∞}n\cos x\cos(\cos x)\cdots\underbrace{\cos(\cos(\cdots(\cos x)))}_{n\text{ times of }\cos}$

evaluating limit of infinite iterations of an exponential function.

Finding the Pointwise Limit of a Function

Find the limit of the given expression

Proving that a limit has been incorrectly evaluated, using the epsilon-delta definition of a limit

Taylor's formula - infinitesimal generator

Tricky multivariable limit

Evaluating limit of exponential function of rational function.

$\lim_\limits{x\to 0^{+}} \frac{\arcsin(1-\{x\})\arccos(1-\{x\})}{\sqrt{2\{x\}}(1-\{x\})}$

Finding $\lim_{n\to\infty} \left(\frac{\sqrt{n^2+n}-1}{n}\right)^{2\sqrt{n^2+n}-1}$

Finding $\lim_{x\to a} \frac{1}{(a^2-x^2)^2}(\frac{a^2+x^2}{ax}-2\sin( \frac{a\pi}{2})\sin(\frac{x\pi}{2}))$

How can I prove that I can assume $\sin{x}, \tan{x}$ to be x when $x \rightarrow 0$

Michael Spivak Calculus Limits problem proof verification

$\lim_\limits{x\to 0}\frac{ax^2+\sin bx+\sin cx +\sin dx}{3x^2+5x^4+7x^6}=8$

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