Question

Compute limit of complicate function.

score 61 · Answer 1 · 2026-04-14 04:53:50

61

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Compute limit of complicate function.

Published on 14 Apr 2026 - 4:53

score 85 · Answer 2 · 2026-04-18 09:13:06

85

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Evaluate $\lim_{x\to0}\frac{\sqrt{a^2+x}-|a|}{\sin^a2x\ln\cos x}$

Published on 18 Apr 2026 - 9:13

score 295 · Answer 3 · 2026-04-16 21:55:08

295

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Compute $\lim \limits_{n\to \infty} n^{1/n}$

Published on 16 Apr 2026 - 21:55

score 341 · Answer 4 · 2026-04-16 04:05:40

341

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Without using L'Hospital rule or series expansion find $\lim_{x\to0} \frac{x-x\cos x}{x-\sin x}$.

Published on 16 Apr 2026 - 4:05

score 97 · Answer 5 · 2026-04-17 13:02:33

97

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Assume $x_n>0$,$x_n+\dfrac{4}{x_{n+1}^2}<3.$ Prove $\lim\limits_{n \to \infty}x_n$ exists and evaluate it.

Published on 17 Apr 2026 - 13:02

score 60 · Answer 6 · 2026-04-17 00:39:38

60

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Find $c$ and $n$ such that $\frac{x^3 \arctan x}{x^4 + \cos x +3} \sim cx^n$ as $x \to 0$

Published on 17 Apr 2026 - 0:39

score 69 · Answer 7 · 2026-04-11 13:03:49

69

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Limit as $x$ approaches to $0$ is nonzero divided by $0$

Published on 11 Apr 2026 - 13:03

score 82 · Answer 8 · 2026-04-11 22:47:37

82

Views

Limit problem as x goes to infinity

Published on 11 Apr 2026 - 22:47

score 92 · Answer 9 · 2026-04-15 18:02:09

92

Views

Find $c$ and $p$ such that $\sqrt{x^3+4x}-\sqrt{x^3+x} \sim cx^p$ for $x \to +\infty$

Published on 15 Apr 2026 - 18:02

score 135 · Answer 10 · 2026-04-12 06:04:15

135

Views

How to compute the value of an infinite series

Published on 12 Apr 2026 - 6:04

score 43 · Answer 11 · 2026-04-14 23:06:40

43

Views

on infinities, sets and limits

Published on 14 Apr 2026 - 23:06

score 536 · Answer 12 · 2026-04-17 07:16:14

536

Views

Identifying whether the sequence $2n+(-1)^n$ is monotonically increasing/decreasing and if it is limited.

Published on 17 Apr 2026 - 7:16

score 134 · Answer 13 · 2026-04-17 00:18:44

134

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Limit of sequence $x_n=\frac{1^p+2^p+...+n^p}{n^{p+1}}$

Published on 17 Apr 2026 - 0:18

score 82 · Answer 14 · 2026-04-16 16:15:50

82

Views

Prove that if lim f(x) =L as x approches 0 then lim f(1/x) = L as x approches infinity

Published on 16 Apr 2026 - 16:15

score 112 · Answer 15 · 2026-04-17 04:56:16

112

Views

What does $\lim \inf _ { n \rightarrow \infty }$ mean?

Published on 17 Apr 2026 - 4:56

List Question

Compute limit of complicate function.

Evaluate $\lim_{x\to0}\frac{\sqrt{a^2+x}-|a|}{\sin^a2x\ln\cos x}$

Compute $\lim \limits_{n\to \infty} n^{1/n}$

Without using L'Hospital rule or series expansion find $\lim_{x\to0} \frac{x-x\cos x}{x-\sin x}$.

Assume $x_n>0$,$x_n+\dfrac{4}{x_{n+1}^2}<3.$ Prove $\lim\limits_{n \to \infty}x_n$ exists and evaluate it.

Find $c$ and $n$ such that $\frac{x^3 \arctan x}{x^4 + \cos x +3} \sim cx^n$ as $x \to 0$

Limit as $x$ approaches to $0$ is nonzero divided by $0$

Limit problem as x goes to infinity

Find $c$ and $p$ such that $\sqrt{x^3+4x}-\sqrt{x^3+x} \sim cx^p$ for $x \to +\infty$

How to compute the value of an infinite series

on infinities, sets and limits

Identifying whether the sequence $2n+(-1)^n$ is monotonically increasing/decreasing and if it is limited.

Limit of sequence $x_n=\frac{1^p+2^p+...+n^p}{n^{p+1}}$

Prove that if lim f(x) =L as x approches 0 then lim f(1/x) = L as x approches infinity

What does $\lim \inf _ { n \rightarrow \infty }$ mean?

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