Question

Using a positive constant C in proving a limit

score 509 · Answer 1 · 2026-04-08 20:17:50

509

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Using a positive constant C in proving a limit

Published on 08 Apr 2026 - 20:17

score 202 · Answer 2 · 2026-04-16 07:31:51

202

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Find limit of $\frac{2x+7}{\sqrt{x^2+2x-1}}$ (check my steps please..)

Published on 16 Apr 2026 - 7:31

score 78 · Answer 3 · 2026-04-16 10:41:13

78

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Strange limit: $\lim_{n\to \infty} \left(n-{\ln(n!)\over \sqrt[n]{n^k\ln2 \ln3\ln4\cdots\ln n}}\right)=2k$

Published on 16 Apr 2026 - 10:41

score 65 · Answer 4 · 2026-04-16 06:11:02

65

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Find the limit of $2^n/x_n$ if $x_1=1$ and $ x_{n+1} = x_{n} + \sqrt{x_n^2 + 1}$ for every $n$

Published on 16 Apr 2026 - 6:11

score 1k · Answer 5 · 2026-04-16 01:17:28

1k

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Find $p(2)$ of a polynomial $p$

Published on 16 Apr 2026 - 1:17

score 86 · Answer 6 · 2026-04-12 11:34:41

86

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A function of two variables and an integral

Published on 12 Apr 2026 - 11:34

score 70 · Answer 7 · 2026-04-17 14:00:56

70

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Solving limit without L'Hospital's rule

Published on 17 Apr 2026 - 14:00

score 120 · Answer 8 · 2026-04-11 08:41:33

120

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Finding limit supremum

Published on 11 Apr 2026 - 8:41

score 29 · Answer 9 · 2026-04-11 12:28:21

29

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How to find the limit of this convergent sum?

Published on 11 Apr 2026 - 12:28

score 82 · Answer 10 · 2026-04-16 12:15:23

82

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Prove that $\lim_{x \to 2} x^2 = 4$.

Published on 16 Apr 2026 - 12:15

score 73 · Answer 11 · 2026-04-14 19:55:54

73

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Does this hold:$\lim_{n \to \infty}{\ln n\over e^n}\int_{0}^{n}{\sinh{x}\over \ln(1+x)}\mathrm dx={1\over 2}$

Published on 14 Apr 2026 - 19:55

score 100 · Answer 12 · 2026-04-15 07:30:23

Calculate Limit by applying L'Hôpital's Rule and Taylor to $\lim\limits_{x \to 0} f(x) = \lim\limits_{x \to 0} \frac{ax -\cos(ax)} {ax^2} $

score 671 · Answer 13 · 2026-04-14 00:24:21

671

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Proof that limit of convergent sequence lies in $[a,\infty)$

Published on 14 Apr 2026 - 0:24

score 2.1k · Answer 14 · 2026-04-16 03:51:10

2.1k

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Proving $ \lim_{x\to\infty}\frac{\sqrt x\cos(x-x^2)}{x+1} = 0. $

Published on 16 Apr 2026 - 3:51

score 154 · Answer 15 · 2026-04-16 16:24:18

154

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Find $ \lim_{ \epsilon \to 0} \frac{1}{R^n-(R-\epsilon)^n} \int_{R-\epsilon\le \|x\| \le R} e^{-\frac{\|x-\mu\|^2}{2}} dx$

Published on 16 Apr 2026 - 16:24

List Question

Using a positive constant C in proving a limit

Find limit of $\frac{2x+7}{\sqrt{x^2+2x-1}}$ (check my steps please..)

Strange limit: $\lim_{n\to \infty} \left(n-{\ln(n!)\over \sqrt[n]{n^k\ln2 \ln3\ln4\cdots\ln n}}\right)=2k$

Find the limit of $2^n/x_n$ if $x_1=1$ and $ x_{n+1} = x_{n} + \sqrt{x_n^2 + 1}$ for every $n$

Find $p(2)$ of a polynomial $p$

A function of two variables and an integral

Solving limit without L'Hospital's rule

Finding limit supremum

How to find the limit of this convergent sum?

Prove that $\lim_{x \to 2} x^2 = 4$.

Does this hold:$\lim_{n \to \infty}{\ln n\over e^n}\int_{0}^{n}{\sinh{x}\over \ln(1+x)}\mathrm dx={1\over 2}$

Calculate Limit by applying L'Hôpital's Rule and Taylor to $\lim\limits_{x \to 0} f(x) = \lim\limits_{x \to 0} \frac{ax -\cos(ax)} {ax^2} $

Proof that limit of convergent sequence lies in $[a,\infty)$

Proving $ \lim_{x\to\infty}\frac{\sqrt x\cos(x-x^2)}{x+1} = 0. $

Find $ \lim_{ \epsilon \to 0} \frac{1}{R^n-(R-\epsilon)^n} \int_{R-\epsilon\le \|x\| \le R} e^{-\frac{\|x-\mu\|^2}{2}} dx$

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