Question

How to get asymptotes of hyperbola using derivatives?

score 61 · Answer 1 · 2023-02-16 16:31:48

61

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How to get asymptotes of hyperbola using derivatives?

Published on 16 Feb 2023 - 16:31

score 68 · Answer 2 · 2023-02-19 23:04:57

68

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Calculate the limit of a sequence: $\frac{ a_n(y_n) }{e^{y_n}}$

Published on 19 Feb 2023 - 23:04

score 68 · Answer 3 · 2023-02-20 01:56:16

68

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Calculer la limite de la suite suivante: $\frac{ a_n(y_n) }{e^{y_n}}$

Published on 20 Feb 2023 - 1:56

score 84 · Answer 4 · 2023-02-20 13:10:07

84

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Calculate $\lim \frac{\sqrt{6 - x} - 2}{\sqrt{3 - x} - 1}$ as $x \to 2$

Published on 20 Feb 2023 - 13:10

score 111 · Answer 5 · 2023-02-21 19:11:01

111

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Is it ok to prove that $\,\lim\limits_{n\to\infty}\frac{\log_a(n)}{n}=0\,$ if a > 1 this way?

Published on 21 Feb 2023 - 19:11

score 89 · Answer 6 · 2026-03-30 12:56:04

89

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$1^∞$ in different aspects

Published on 30 Mar 2026 - 12:56

score 814 · Answer 7 · 2023-02-24 12:56:24

814

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If $\lim \frac{f(x)}{x^2} = 5$, find $\lim f(x)$ and $\lim \frac{f(x)}{x}$ as $x \to 0$.

Published on 24 Feb 2023 - 12:56

score 32 · Answer 8 · 2023-02-25 21:49:40

32

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Finding the value of this exponential limit

Published on 25 Feb 2023 - 21:49

score 80 · Answer 9 · 2023-02-26 16:47:58

80

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Computing the limit of $ \frac{1^3+2^3+\cdots+n^3}{\sqrt{4n^8 +1}} $

Published on 26 Feb 2023 - 16:47

score 159 · Answer 10 · 2023-03-01 13:55:47

159

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Is L'Hopital's rule just a shortcut? OR Are there limits that CANNOT be done without using L'Hopital's rule?

Published on 01 Mar 2023 - 13:55

score 2.4k · Answer 11 · 2023-03-06 15:37:02

2.4k

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Why do I get two different answers while doing this simple limit math?

Published on 06 Mar 2023 - 15:37

score 150 · Answer 12 · 2023-03-06 18:57:11

150

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How to prove that $\lim_{x\rightarrow\infty}x-\sqrt{x(x+1)}=-\frac12$

Published on 06 Mar 2023 - 18:57

score 308 · Answer 13 · 2023-03-07 16:00:54

308

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Evaluating $\lim_{x\to 0^+} \frac1{x} \cos^{-1} (\frac{\sin x}{x})$

Published on 07 Mar 2023 - 16:00

score 29 · Answer 14 · 2023-03-11 10:41:27

29

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Derivative of the piecewise function: $\{e^{-1/x^2}\text{ for } x ≠ 0, 0\text{ for }x = 0\}$

Published on 11 Mar 2023 - 10:41

score 47 · Answer 15 · 2023-03-11 11:58:36

47

Views

Approximating a limit of $\cot$ whose argument is close to zero without L'Hospital's Rule

Published on 11 Mar 2023 - 11:58

List Question

How to get asymptotes of hyperbola using derivatives?

Calculate the limit of a sequence: $\frac{ a_n(y_n) }{e^{y_n}}$

Calculer la limite de la suite suivante: $\frac{ a_n(y_n) }{e^{y_n}}$

Calculate $\lim \frac{\sqrt{6 - x} - 2}{\sqrt{3 - x} - 1}$ as $x \to 2$

Is it ok to prove that $\,\lim\limits_{n\to\infty}\frac{\log_a(n)}{n}=0\,$ if a > 1 this way?

$1^∞$ in different aspects

If $\lim \frac{f(x)}{x^2} = 5$, find $\lim f(x)$ and $\lim \frac{f(x)}{x}$ as $x \to 0$.

Finding the value of this exponential limit

Computing the limit of $ \frac{1^3+2^3+\cdots+n^3}{\sqrt{4n^8 +1}} $

Is L'Hopital's rule just a shortcut? OR Are there limits that CANNOT be done without using L'Hopital's rule?

Why do I get two different answers while doing this simple limit math?

How to prove that $\lim_{x\rightarrow\infty}x-\sqrt{x(x+1)}=-\frac12$

Evaluating $\lim_{x\to 0^+} \frac1{x} \cos^{-1} (\frac{\sin x}{x})$

Derivative of the piecewise function: $\{e^{-1/x^2}\text{ for } x ≠ 0, 0\text{ for }x = 0\}$

Approximating a limit of $\cot$ whose argument is close to zero without L'Hospital's Rule

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