Question

Evaluating $\lim\limits_{x\to 0}\!\left[\! \frac{1 - (\cos(2x) \cos(4x) \cos(6x) \cos(8x) \cos(10x))^3}{5 \tan^2x}\!\right]$

score 362 · Answer 1 · 2023-05-25 17:54:45

362

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Evaluating $\lim\limits_{x\to 0}\!\left[\! \frac{1 - (\cos(2x) \cos(4x) \cos(6x) \cos(8x) \cos(10x))^3}{5 \tan^2x}\!\right]$

Published on 25 May 2023 - 17:54

score 218 · Answer 2 · 2023-05-26 10:43:13

218

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How to check if the limit exists in multivariable calculus

Published on 26 May 2023 - 10:43

score 279 · Answer 3 · 2023-05-29 14:11:34

279

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Can you use the Big Theorem to compute limits of rational functions at infinity?

Published on 29 May 2023 - 14:11

score 127 · Answer 4 · 2023-05-29 21:55:41

127

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Why can’t I divide by $n^2$ here to evaluate the limit?

Published on 29 May 2023 - 21:55

score 23 · Answer 5 · 2023-06-02 08:06:45

23

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Methods to solve limits

Published on 02 Jun 2023 - 8:06

score 241 · Answer 6 · 2023-06-03 05:09:10

241

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Evaluating $\lim_{x\to 0} \frac{ e^x - e^{-x}-2\ln(1+x)}{x \sin x}$. Why is this solution wrong?

Published on 03 Jun 2023 - 5:09

score 496 · Answer 7 · 2023-06-05 14:42:07

496

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Why does ${\lim_{x\to2}}\;(x-4)^x$ not exist?

Published on 05 Jun 2023 - 14:42

score 126 · Answer 8 · 2023-06-06 13:51:52

126

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Limit of $\frac{\cos(ax)-\cos(bx)}{\cos(cx)-\cos(dx)}$ as $x$ approaches to $0$

Published on 06 Jun 2023 - 13:51

score 80 · Answer 9 · 2023-06-15 17:42:40

80

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How to solve this without L'Hopital?

Published on 15 Jun 2023 - 17:42

score 51 · Answer 10 · 2023-06-15 20:50:30

51

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Finding limit without L'Hopital's rule of a rational trigonometric expression

Published on 15 Jun 2023 - 20:50

score 82 · Answer 11 · 2026-03-29 08:35:45

82

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Show that $\lim_{x\rightarrow0}\frac{e^{\iota x}-1}{\iota x}=1$

Published on 29 Mar 2026 - 8:35

score 142 · Answer 12 · 2023-06-24 19:32:06

142

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Evaluating $\lim_{x \to 0} \frac{x^3-x\cos x }{\sin x}$ without l'Hopital

Published on 24 Jun 2023 - 19:32

score 137 · Answer 13 · 2023-06-25 12:38:52

137

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Can we use series expansion to evaluate $\lim_{x\to\infty}\frac{\cos x+\sin x}{x^2}?$

Published on 25 Jun 2023 - 12:38

score 146 · Answer 14 · 2023-06-29 05:56:34

146

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How to evaluate $\,\lim\limits_{x \to 1}\left(x^n-1\right)\ln^m(1-x)\,$ without L'Hopital?

Published on 29 Jun 2023 - 5:56

score 218 · Answer 15 · 2023-07-03 15:52:39

218

Views

$\lim_{x \to 0} (\cos x)^{\cot x}$

Published on 03 Jul 2023 - 15:52

List Question

Evaluating $\lim\limits_{x\to 0}\!\left[\! \frac{1 - (\cos(2x) \cos(4x) \cos(6x) \cos(8x) \cos(10x))^3}{5 \tan^2x}\!\right]$

How to check if the limit exists in multivariable calculus

Can you use the Big Theorem to compute limits of rational functions at infinity?

Why can’t I divide by $n^2$ here to evaluate the limit?

Methods to solve limits

Evaluating $\lim_{x\to 0} \frac{ e^x - e^{-x}-2\ln(1+x)}{x \sin x}$. Why is this solution wrong?

Why does ${\lim_{x\to2}}\;(x-4)^x$ not exist?

Limit of $\frac{\cos(ax)-\cos(bx)}{\cos(cx)-\cos(dx)}$ as $x$ approaches to $0$

How to solve this without L'Hopital?

Finding limit without L'Hopital's rule of a rational trigonometric expression

Show that $\lim_{x\rightarrow0}\frac{e^{\iota x}-1}{\iota x}=1$

Evaluating $\lim_{x \to 0} \frac{x^3-x\cos x }{\sin x}$ without l'Hopital

Can we use series expansion to evaluate $\lim_{x\to\infty}\frac{\cos x+\sin x}{x^2}?$

How to evaluate $\,\lim\limits_{x \to 1}\left(x^n-1\right)\ln^m(1-x)\,$ without L'Hopital?

$\lim_{x \to 0} (\cos x)^{\cot x}$

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