Question

How to evaluate $\lim\limits_{x \to 0} \frac{\sqrt{1+x}-\sqrt{1-x}}{x}$?

score 62 · Answer 1 · 2023-11-21 16:45:50

62

Views

How to evaluate $\lim\limits_{x \to 0} \frac{\sqrt{1+x}-\sqrt{1-x}}{x}$?

Published on 21 Nov 2023 - 16:45

score 43 · Answer 2 · 2023-11-21 19:30:56

43

Views

How to squezee from the bottom $\lim_{n \rightarrow \infty}\sqrt[n]{\left (\frac{1}{2^n} \right )-\left (\frac{1}{3^n} \right )}$

Published on 21 Nov 2023 - 19:30

score 96 · Answer 3 · 2023-11-25 15:50:24

96

Views

Find $\lim_{x\to 1}\left(\frac{m}{(1-x)^m}-\frac{n}{(1-x)^n}\right)$ without using derivatives, the L'Hopital's rule or Taylor's series

Published on 25 Nov 2023 - 15:50

score 43 · Answer 4 · 2023-11-26 08:05:43

43

Views

Limits- Why is my logic wrong?

Published on 26 Nov 2023 - 8:05

score 182 · Answer 5 · 2026-03-26 22:14:59

182

Views

Can the following $\infty - \infty$ limit be solved without using l'Hôpital rule?

Published on 26 Mar 2026 - 22:14

score 126 · Answer 6 · 2023-12-06 04:22:30

126

Views

How to find the limit of an infinite sum

Published on 06 Dec 2023 - 4:22

score 76 · Answer 7 · 2023-12-10 00:28:26

76

Views

Find the values of a and b such that the limit = 8

Published on 10 Dec 2023 - 0:28

score 128 · Answer 8 · 2026-03-28 11:31:59

128

Views

Fake proof that $\lim \limits_{x \to 0} \frac{\sin(3x)}{x^3}=\frac{-9}{2}$

Published on 28 Mar 2026 - 11:31

score 80 · Answer 9 · 2023-12-19 17:06:35

80

Views

Solving this limit with Taylor series

Published on 19 Dec 2023 - 17:06

score 179 · Answer 10 · 2023-12-21 16:13:39

179

Views

Showing $\lim_{n \to \infty}\;( (2n+1)! )^{1/n}\,\sin\left(\frac {1}{n^2-n}\right) = \frac{4}{e^2}$

Published on 21 Dec 2023 - 16:13

score 153 · Answer 11 · 2023-12-23 12:28:48

153

Views

Evaluating $\lim_{x \to 7} \frac{\sqrt{x-3}-2}{\sqrt{x+2}-10+x}$without L'Hopital's rule

Published on 23 Dec 2023 - 12:28

score 70 · Answer 12 · 2023-12-28 16:45:50

70

Views

Gamma function limit

Published on 28 Dec 2023 - 16:45

score 158 · Answer 13 · 2023-12-30 13:18:26

158

Views

Solving $\frac{df}{dx} = 2x$ using the definition of a derivative.

Published on 30 Dec 2023 - 13:18

score 243 · Answer 14 · 2024-01-04 18:10:14

243

Views

Evaluation of a limit at infinity

Published on 04 Jan 2024 - 18:10

score 138 · Answer 15 · 2024-01-06 01:55:43

138

Views

Showing $ \lim_{x \to \pi/3} \frac{1-2\cos x}{\sin\left(x-\frac{\pi}{3}\right)}=\sqrt{3} $ without l'Hopital

Published on 06 Jan 2024 - 1:55

List Question

How to evaluate $\lim\limits_{x \to 0} \frac{\sqrt{1+x}-\sqrt{1-x}}{x}$?

How to squezee from the bottom $\lim_{n \rightarrow \infty}\sqrt[n]{\left (\frac{1}{2^n} \right )-\left (\frac{1}{3^n} \right )}$

Find $\lim_{x\to 1}\left(\frac{m}{(1-x)^m}-\frac{n}{(1-x)^n}\right)$ without using derivatives, the L'Hopital's rule or Taylor's series

Limits- Why is my logic wrong?

Can the following $\infty - \infty$ limit be solved without using l'Hôpital rule?

How to find the limit of an infinite sum

Find the values of a and b such that the limit = 8

Fake proof that $\lim \limits_{x \to 0} \frac{\sin(3x)}{x^3}=\frac{-9}{2}$

Solving this limit with Taylor series

Showing $\lim_{n \to \infty}\;( (2n+1)! )^{1/n}\,\sin\left(\frac {1}{n^2-n}\right) = \frac{4}{e^2}$

Evaluating $\lim_{x \to 7} \frac{\sqrt{x-3}-2}{\sqrt{x+2}-10+x}$without L'Hopital's rule

Gamma function limit

Solving $\frac{df}{dx} = 2x$ using the definition of a derivative.

Evaluation of a limit at infinity

Showing $ \lim_{x \to \pi/3} \frac{1-2\cos x}{\sin\left(x-\frac{\pi}{3}\right)}=\sqrt{3} $ without l'Hopital

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