Question

For polynomials $p,q$ of the same degree, find $\lim_{x\to+\infty}\left(\frac{p(x)}{q(x)}\right)^x$ without using l'Hôpital's rule

score 80 · Answer 1 · 2023-10-23 14:19:20

For polynomials $p,q$ of the same degree, find $\lim_{x\to+\infty}\left(\frac{p(x)}{q(x)}\right)^x$ without using l'Hôpital's rule

score 190 · Answer 2 · 2023-10-25 08:30:20

190

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how to evaluate $\lim_{n \to \infty} n\frac{(n-1)!!}{n!!} $

Published on 25 Oct 2023 - 8:30

score 71 · Answer 3 · 2023-10-26 17:43:51

71

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Evaluate $\lim_{n\to \infty}{\frac{\sqrt[3]{n^4+2}-\sqrt[3]{n^4+4n^3-1}}{\sqrt[3]{n+4}}} $

Published on 26 Oct 2023 - 17:43

score 135 · Answer 4 · 2023-10-29 10:58:23

135

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Is it possible to find this limit without using L'Hopital?

Published on 29 Oct 2023 - 10:58

score 66 · Answer 5 · 2023-10-29 13:52:53

66

Views

Find the limit of the sequence with sqrt

Published on 29 Oct 2023 - 13:52

score 38 · Answer 6 · 2023-11-04 10:20:10

38

Views

How to prove this limit (possibly with the definition)

Published on 04 Nov 2023 - 10:20

score 127 · Answer 7 · 2026-03-26 22:16:21

127

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Limit of a sequence: $\displaystyle \lim_{n\to\infty}\sqrt{n}\left[\frac{e^{\sqrt{n+1}}}{e^{\sqrt{n-1}}}-1\right]?$

Published on 26 Mar 2026 - 22:16

score 99 · Answer 8 · 2023-11-07 04:23:56

99

Views

Calculus - Evalute limit without using L'Hôpital rule

Published on 07 Nov 2023 - 4:23

score 158 · Answer 9 · 2023-11-08 19:53:26

158

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Find $\lim_{{x \to 0}} \frac{x - \sin x}{x - \tan x}$ without using L'Hôpital's rule

Published on 08 Nov 2023 - 19:53

score 86 · Answer 10 · 2023-11-12 23:06:17

86

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Finding $\lim_{x\to 1}\left(2-x\right)^{\tan\frac{\pi x}{2}}$

Published on 12 Nov 2023 - 23:06

score 72 · Answer 11 · 2023-11-13 18:07:07

72

Views

Evaluating limit with Taylor

Published on 13 Nov 2023 - 18:07

score 84 · Answer 12 · 2023-11-15 00:17:20

84

Views

Proving limit without using L'hopital rule

Published on 15 Nov 2023 - 0:17

score 181 · Answer 13 · 2023-11-15 06:34:27

181

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How to find the limit of a composite function?

Published on 15 Nov 2023 - 6:34

score 73 · Answer 14 · 2023-11-15 14:25:09

73

Views

How do you solve these limits and what are the steps?(without differentiation or L'Hospital)

Published on 15 Nov 2023 - 14:25

score 145 · Answer 15 · 2023-11-16 20:12:39

145

Views

How to solve $\lim_{x\rightarrow2}\frac{(x-2)\ln(x-1)}{1-\cos(x-2)}$?

Published on 16 Nov 2023 - 20:12

List Question

For polynomials $p,q$ of the same degree, find $\lim_{x\to+\infty}\left(\frac{p(x)}{q(x)}\right)^x$ without using l'Hôpital's rule

how to evaluate $\lim_{n \to \infty} n\frac{(n-1)!!}{n!!} $

Evaluate $\lim_{n\to \infty}{\frac{\sqrt[3]{n^4+2}-\sqrt[3]{n^4+4n^3-1}}{\sqrt[3]{n+4}}} $

Is it possible to find this limit without using L'Hopital?

Find the limit of the sequence with sqrt

How to prove this limit (possibly with the definition)

Limit of a sequence: $\displaystyle \lim_{n\to\infty}\sqrt{n}\left[\frac{e^{\sqrt{n+1}}}{e^{\sqrt{n-1}}}-1\right]?$

Calculus - Evalute limit without using L'Hôpital rule

Find $\lim_{{x \to 0}} \frac{x - \sin x}{x - \tan x}$ without using L'Hôpital's rule

Finding $\lim_{x\to 1}\left(2-x\right)^{\tan\frac{\pi x}{2}}$

Evaluating limit with Taylor

Proving limit without using L'hopital rule

How to find the limit of a composite function?

How do you solve these limits and what are the steps?(without differentiation or L'Hospital)

How to solve $\lim_{x\rightarrow2}\frac{(x-2)\ln(x-1)}{1-\cos(x-2)}$?

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