Question

limits of the differential of $\sqrt{1-\cos x}$

score 33 · Answer 1 · 2026-05-05 17:45:28

33

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limits of the differential of $\sqrt{1-\cos x}$

Published on 05 May 2026 - 17:45

score 153 · Answer 2 · 2026-04-12 13:31:13

153

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Rigorously proving a limit is in an interval

Published on 12 Apr 2026 - 13:31

score 50 · Answer 3 · 2026-04-14 01:16:14

50

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An infinite sequence is contained in (a, b) but the limit is not in (a, b). Prove the limit is either a or b.

Published on 14 Apr 2026 - 1:16

score 162 · Answer 4 · 2026-04-16 19:03:25

162

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Find the limit of $\begin{equation} \lim_{x \rightarrow 4} \frac{\sqrt{1 + 2x} -3}{\sqrt{x} - 2} \end{equation}$

Published on 16 Apr 2026 - 19:03

score 76 · Answer 5 · 2026-04-14 10:41:50

76

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Evaluation of limit with summation till infinity.

Published on 14 Apr 2026 - 10:41

score 105 · Answer 6 · 2026-04-14 21:35:50

105

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If $(x_n)$ is a bounded infinite sequence, prove that $\lim\limits_{n→∞}\frac{x_n}{n^k}=0$

Published on 14 Apr 2026 - 21:35

score 765 · Answer 7 · 2026-04-13 00:48:12

765

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Limit of a Sum $\lim_{n \to \infty }\sum_{r=1}^{n}{\frac{1}{(n+r)(n+2r)}}$

Published on 13 Apr 2026 - 0:48

score 199 · Answer 8 · 2026-04-13 05:10:08

199

Views

Prove that a distribution function of a integer valued random variable converges

Published on 13 Apr 2026 - 5:10

score 157 · Answer 9 · 2026-04-15 14:02:09

157

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How can I calculate $\lim_{ n \rightarrow \infty} (n^{1.000001}/\log n) / (1.000001)^n$

Published on 15 Apr 2026 - 14:02

score 351 · Answer 10 · 2026-04-16 05:17:23

351

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Evaluating $\lim_{n \to \infty}\left(\sqrt{n^2 - n+1}-\left\lfloor\sqrt {n^2 - n+1}\right\rfloor\right)$

Published on 16 Apr 2026 - 5:17

score 70 · Answer 11 · 2026-04-11 13:38:22

70

Views

Limits and continuous function book

Published on 11 Apr 2026 - 13:38

score 138 · Answer 12 · 2026-04-17 07:41:06

138

Views

Prove $ \lim_{n\to\infty}\lVert x^n\rVert^{\frac{1}{n}} = \inf_{n\geq 1}\{\lVert x^n\rVert^{\frac{1} {n}}\}$ by Fekete’s Lemma

Published on 17 Apr 2026 - 7:41

score 61 · Answer 13 · 2026-04-11 08:55:06

61

Views

Taylor polynomial for $f(x, y) = \arctan(\frac{y}{x})$

Published on 11 Apr 2026 - 8:55

score 946 · Answer 14 · 2026-04-12 05:33:46

946

Views

Why can we exchange the limit sign for continuous functions?

Published on 12 Apr 2026 - 5:33

score 181 · Answer 15 · 2026-04-11 18:01:39

181

Views

Limit "Replace $1$ by $0$"

Published on 11 Apr 2026 - 18:01

List Question

limits of the differential of $\sqrt{1-\cos x}$

Rigorously proving a limit is in an interval

An infinite sequence is contained in (a, b) but the limit is not in (a, b). Prove the limit is either a or b.

Find the limit of $\begin{equation} \lim_{x \rightarrow 4} \frac{\sqrt{1 + 2x} -3}{\sqrt{x} - 2} \end{equation}$

Evaluation of limit with summation till infinity.

If $(x_n)$ is a bounded infinite sequence, prove that $\lim\limits_{n→∞}\frac{x_n}{n^k}=0$

Limit of a Sum $\lim_{n \to \infty }\sum_{r=1}^{n}{\frac{1}{(n+r)(n+2r)}}$

Prove that a distribution function of a integer valued random variable converges

How can I calculate $\lim_{ n \rightarrow \infty} (n^{1.000001}/\log n) / (1.000001)^n$

Evaluating $\lim_{n \to \infty}\left(\sqrt{n^2 - n+1}-\left\lfloor\sqrt {n^2 - n+1}\right\rfloor\right)$

Limits and continuous function book

Prove $ \lim_{n\to\infty}\lVert x^n\rVert^{\frac{1}{n}} = \inf_{n\geq 1}\{\lVert x^n\rVert^{\frac{1} {n}}\}$ by Fekete’s Lemma

Taylor polynomial for $f(x, y) = \arctan(\frac{y}{x})$

Why can we exchange the limit sign for continuous functions?

Limit "Replace $1$ by $0$"

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