Question

Limits of functions as x approaches a

score 92 · Answer 1 · 2018-11-10 14:53:22

92

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Limits of functions as x approaches a

Published on 10 Nov 2018 - 14:53

score 497 · Answer 2 · 2018-11-10 16:39:46

497

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Trouble solving this limit without using l'Hôpital's rule

Published on 10 Nov 2018 - 16:39

score 133 · Answer 3 · 2018-11-11 14:56:55

133

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How to evaluate $\lim_{n\to\infty} \dfrac{1^p+2^p+...+n^p}{n^p}-\frac{n}{p+1}$?

Published on 11 Nov 2018 - 14:56

score 205 · Answer 4 · 2018-11-11 20:29:23

205

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Hints about the limit $\lim_{x \to \infty} ((1+x^2)/(x+x^2))^{2x}$ without l'Hôpital's rule?

Published on 11 Nov 2018 - 20:29

score 117 · Answer 5 · 2018-11-11 23:43:13

117

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Limit for $x\to\pi$ for the trigonometric function $(1+\cos x)/\tan^2x$

Published on 11 Nov 2018 - 23:43

score 56 · Answer 6 · 2018-11-12 14:51:39

56

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can we separate out absolute value function like this?

Published on 12 Nov 2018 - 14:51

score 168 · Answer 7 · 2018-11-12 18:20:41

168

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Computing $\;\lim\limits_{x\to 4}\left (\frac{\frac{\pi}{6} - \arcsin\left(\frac{\sqrt{x}}{4}\right)}{\sqrt[3]{2x-7}-1}\right) $ without L'Hôpital?

Published on 12 Nov 2018 - 18:20

score 54 · Answer 8 · 2018-11-12 18:27:10

54

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Hints to solve $\lim_{x \to 0^+}{\frac{\sqrt x +\tan^3x+\sqrt x\sin^2x}{x+x^2\cos x-\tan^2x}}$ without L'Hopital

Published on 12 Nov 2018 - 18:27

score 2k · Answer 9 · 2018-11-12 23:12:44

2k

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Limit of $\cos(1/x^2)$ as $x$ tends to $0$

Published on 12 Nov 2018 - 23:12

score 47 · Answer 10 · 2018-11-13 20:12:14

47

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I need to solve this limit without using L'Hospital's rule

Published on 13 Nov 2018 - 20:12

score 96 · Answer 11 · 2026-03-25 06:07:06

96

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Limits - Calculating $\lim\limits_{x\to 1} \frac{x^a -1}{x-1}$, where $a \gt 0$, without using L'Hospital's rule

Published on 25 Mar 2026 - 6:07

score 62 · Answer 12 · 2018-11-15 18:00:36

62

Views

Limit of sequence: $\lim_{n\to\infty}({2n+1\over 3n})^n$

Published on 15 Nov 2018 - 18:00

score 135 · Answer 13 · 2018-11-15 18:33:56

135

Views

Show that $\lim\limits_{x \to \infty}\frac{\ln x}{x}=0$ from definition.

Published on 15 Nov 2018 - 18:33

score 219 · Answer 14 · 2018-11-15 20:08:38

219

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Evaluate $\lim \limits_{n \to \infty\ } \sqrt[n]{\left|\frac {1}{n3^n}-\frac {n^{170}}{4^n}\right|}$

Published on 15 Nov 2018 - 20:08

score 45 · Answer 15 · 2018-11-15 20:43:39

45

Views

Limit of $\lim_{x \to +\infty} x \left( \sqrt{(1+\frac{a}{x}) (1+\frac{h}{x})} -1 \right)$

Published on 15 Nov 2018 - 20:43

List Question

Limits of functions as x approaches a

Trouble solving this limit without using l'Hôpital's rule

How to evaluate $\lim_{n\to\infty} \dfrac{1^p+2^p+...+n^p}{n^p}-\frac{n}{p+1}$?

Hints about the limit $\lim_{x \to \infty} ((1+x^2)/(x+x^2))^{2x}$ without l'Hôpital's rule?

Limit for $x\to\pi$ for the trigonometric function $(1+\cos x)/\tan^2x$

can we separate out absolute value function like this?

Computing $\;\lim\limits_{x\to 4}\left (\frac{\frac{\pi}{6} - \arcsin\left(\frac{\sqrt{x}}{4}\right)}{\sqrt[3]{2x-7}-1}\right) $ without L'Hôpital?

Hints to solve $\lim_{x \to 0^+}{\frac{\sqrt x +\tan^3x+\sqrt x\sin^2x}{x+x^2\cos x-\tan^2x}}$ without L'Hopital

Limit of $\cos(1/x^2)$ as $x$ tends to $0$

I need to solve this limit without using L'Hospital's rule

Limits - Calculating $\lim\limits_{x\to 1} \frac{x^a -1}{x-1}$, where $a \gt 0$, without using L'Hospital's rule

Limit of sequence: $\lim_{n\to\infty}({2n+1\over 3n})^n$

Show that $\lim\limits_{x \to \infty}\frac{\ln x}{x}=0$ from definition.

Evaluate $\lim \limits_{n \to \infty\ } \sqrt[n]{\left|\frac {1}{n3^n}-\frac {n^{170}}{4^n}\right|}$

Limit of $\lim_{x \to +\infty} x \left( \sqrt{(1+\frac{a}{x}) (1+\frac{h}{x})} -1 \right)$

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