Question

How to calculate $\lim \limits_{x \to \infty} \left[(x+a)^{1+\frac1x}-(x) ^{1+\frac{1}{x+a}}\right]$

score 81 · Answer 1 · 2026-04-14 17:47:23

81

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How to calculate $\lim \limits_{x \to \infty} \left[(x+a)^{1+\frac1x}-(x) ^{1+\frac{1}{x+a}}\right]$

Published on 14 Apr 2026 - 17:47

score 216 · Answer 2 · 2026-04-15 07:18:43

216

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How to use ε-N language to prove $\lim_{n\to ∞}\frac{\sqrt[3]{n^2}\sin n}{n+1}=0$

Published on 15 Apr 2026 - 7:18

score 125 · Answer 3 · 2026-04-12 05:01:31

125

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limiting process in geometry

Published on 12 Apr 2026 - 5:01

score 56 · Answer 4 · 2026-05-11 01:01:40

56

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Sets and convergence in probability

Published on 11 May 2026 - 1:01

score 303 · Answer 5 · 2026-04-17 12:11:26

303

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Please help me with this trigonometric limit without using L'Hopital's rule

Published on 17 Apr 2026 - 12:11

score 132 · Answer 6 · 2026-04-17 14:38:15

132

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Evaluate the given limit: $\lim_{x\to 0} \frac {x.\tan (2x) - 2x.\tan (x)}{(1-\cos (2x))^2}$

Published on 17 Apr 2026 - 14:38

score 146 · Answer 7 · 2026-04-17 11:04:26

146

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$\lim_{n \rightarrow \infty} ( 1 - \frac{2}{2.3}) ( 1 - \frac{2}{3.4}).......(1-\frac{2}{(n+1).(n+2)})$

Published on 17 Apr 2026 - 11:04

score 2.1k · Answer 8 · 2026-05-10 19:01:25

2.1k

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Unit Radial Vector at the Origin

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score 94 · Answer 9 · 2026-04-13 20:25:04

94

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Continuity of a function containing infinite sum of floor function

Published on 13 Apr 2026 - 20:25

score 233 · Answer 10 · 2026-05-10 20:54:00

233

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Is $ \lim_{x\to \infty}\frac{x^2}{x+1} $ equal to $\infty$ or to $1$?

Published on 10 May 2026 - 20:54

score 326 · Answer 11 · 2026-04-15 03:45:11

326

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How to evaluate $\lim _{x\to 0}\frac{5-5\cos\left(2x\right)+\sin\left(4x\right)}{x}$ without using L'Hospital's rule?

Published on 15 Apr 2026 - 3:45

score 1.5k · Answer 12 · 2026-04-17 12:58:32

1.5k

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Is there any way to systematically do all epsilon delta proofs?

Published on 17 Apr 2026 - 12:58

score 75 · Answer 13 · 2026-04-11 22:30:49

75

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Question about the rules to follow when evaluating infinite limits

Published on 11 Apr 2026 - 22:30

score 92 · Answer 14 · 2026-04-16 06:47:01

92

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How to find $\lim\limits_{x\to0}\frac{x^2+2\cos x-2}{x \sin^3x}$

Published on 16 Apr 2026 - 6:47

score 120 · Answer 15 · 2026-04-15 21:01:51

120

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Evaluating $\lim\limits_{x\to \frac {\pi}{2}} \tan (x) \log (\sin (x))$

Published on 15 Apr 2026 - 21:01

List Question

How to calculate $\lim \limits_{x \to \infty} \left[(x+a)^{1+\frac1x}-(x) ^{1+\frac{1}{x+a}}\right]$

How to use ε-N language to prove $\lim_{n\to ∞}\frac{\sqrt[3]{n^2}\sin n}{n+1}=0$

limiting process in geometry

Sets and convergence in probability

Please help me with this trigonometric limit without using L'Hopital's rule

Evaluate the given limit: $\lim_{x\to 0} \frac {x.\tan (2x) - 2x.\tan (x)}{(1-\cos (2x))^2}$

$\lim_{n \rightarrow \infty} ( 1 - \frac{2}{2.3}) ( 1 - \frac{2}{3.4}).......(1-\frac{2}{(n+1).(n+2)})$

Unit Radial Vector at the Origin

Continuity of a function containing infinite sum of floor function

Is $ \lim_{x\to \infty}\frac{x^2}{x+1} $ equal to $\infty$ or to $1$?

How to evaluate $\lim _{x\to 0}\frac{5-5\cos\left(2x\right)+\sin\left(4x\right)}{x}$ without using L'Hospital's rule?

Is there any way to systematically do all epsilon delta proofs?

Question about the rules to follow when evaluating infinite limits

How to find $\lim\limits_{x\to0}\frac{x^2+2\cos x-2}{x \sin^3x}$

Evaluating $\lim\limits_{x\to \frac {\pi}{2}} \tan (x) \log (\sin (x))$

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