Question

Solve the limit without using L'Hospital's rule: $\lim _{x\to \infty }\left(\frac{x+2}{x+3}\right)^{2x+3}$

score 870 · Answer 1 · 2026-03-31 17:15:12

870

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Solve the limit without using L'Hospital's rule: $\lim _{x\to \infty }\left(\frac{x+2}{x+3}\right)^{2x+3}$

Published on 31 Mar 2026 - 17:15

score 939 · Answer 2 · 2015-10-12 17:23:01

939

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How to solve this limit without L'Hospital's Rule?

Published on 12 Oct 2015 - 17:23

score 213 · Answer 3 · 2026-03-23 03:51:04

213

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Find limit $\lim_{n \to \infty }np^n , p \in (0,1)$

Published on 23 Mar 2026 - 3:51

score 2.7k · Answer 4 · 2015-10-13 14:42:17

2.7k

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Limit $ \lim\limits_{n \rightarrow \infty} \left(\lim\limits_{k \rightarrow \infty} \left(\frac{1}{1+2^{n-k}}\right) \right) $

Published on 13 Oct 2015 - 14:42

score 37 · Answer 5 · 2026-03-06 21:24:16

37

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Is it correct to separate a limit, apply Stirling and then reattach it?

Published on 06 Mar 2026 - 21:24

score 158 · Answer 6 · 2015-10-14 15:49:05

158

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Why are the two results of this limit inconsistent?

Published on 14 Oct 2015 - 15:49

score 115 · Answer 7 · 2026-03-23 03:52:02

115

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Limit without l'hopital

Published on 23 Mar 2026 - 3:52

score 111 · Answer 8 · 2015-10-14 22:49:36

111

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Limit of ratio of exponentials of different bases

Published on 14 Oct 2015 - 22:49

score 278 · Answer 9 · 2015-10-15 11:30:10

278

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How do I solve this limit $\lim _{x\to \infty \:}\left(x\left(\sqrt{x^2+1}-\sqrt[3]{x^3+1}\right)\right)$?

Published on 15 Oct 2015 - 11:30

score 97 · Answer 10 · 2026-03-10 03:35:22

97

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limit n tends to infinity for arbitrary non negative real numbers

Published on 10 Mar 2026 - 3:35

score 59 · Answer 11 · 2026-03-17 14:40:54

59

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Proving an asymptotic relation

Published on 17 Mar 2026 - 14:40

score 95 · Answer 12 · 2015-10-19 01:00:14

95

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The limit of $\frac{\sqrt{1+\cos 2x}}{\sqrt{\pi}-\sqrt{2x}}$ as $x\to \pi/2+0$

Published on 19 Oct 2015 - 1:00

score 30 · Answer 13 · 2015-10-20 18:35:27

30

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Looking for some advice on basic sequence convergence

Published on 20 Oct 2015 - 18:35

score 4.6k · Answer 14 · 2026-04-02 17:47:38

4.6k

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Show $\lim_{h\to 0} \frac{(a^h-1)}{h}$ exists without l'Hôpital or even referencing $e$ or natural log

Published on 02 Apr 2026 - 17:47

score 73 · Answer 15 · 2015-10-22 23:50:03

73

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Compute $\lim _{x\to \:k}\frac{s\cdot x^2y\cdot sin\left(k-x\right)}{k^2-kx}$ without using L'Hopitals Rule

Published on 22 Oct 2015 - 23:50

List Question

Solve the limit without using L'Hospital's rule: $\lim _{x\to \infty }\left(\frac{x+2}{x+3}\right)^{2x+3}$

How to solve this limit without L'Hospital's Rule?

Find limit $\lim_{n \to \infty }np^n , p \in (0,1)$

Limit $ \lim\limits_{n \rightarrow \infty} \left(\lim\limits_{k \rightarrow \infty} \left(\frac{1}{1+2^{n-k}}\right) \right) $

Is it correct to separate a limit, apply Stirling and then reattach it?

Why are the two results of this limit inconsistent?

Limit without l'hopital

Limit of ratio of exponentials of different bases

How do I solve this limit $\lim _{x\to \infty \:}\left(x\left(\sqrt{x^2+1}-\sqrt[3]{x^3+1}\right)\right)$?

limit n tends to infinity for arbitrary non negative real numbers

Proving an asymptotic relation

The limit of $\frac{\sqrt{1+\cos 2x}}{\sqrt{\pi}-\sqrt{2x}}$ as $x\to \pi/2+0$

Looking for some advice on basic sequence convergence

Show $\lim_{h\to 0} \frac{(a^h-1)}{h}$ exists without l'Hôpital or even referencing $e$ or natural log

Compute $\lim _{x\to \:k}\frac{s\cdot x^2y\cdot sin\left(k-x\right)}{k^2-kx}$ without using L'Hopitals Rule

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