Question

Solve limit similar to the well-known one

score 55 · Answer 1 · 2026-04-17 11:11:00

55

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Solve limit similar to the well-known one

Published on 17 Apr 2026 - 11:11

score 107 · Answer 2 · 2026-04-14 23:04:43

107

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Determining the minimal length of the hypotenuse

Published on 14 Apr 2026 - 23:04

score 180 · Answer 3 · 2026-04-14 20:15:18

180

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Finding a limit with power: $ \lim_ {x \to \infty} \left( \frac {7x+10}{1+7x} \right)^{x/3} $

Published on 14 Apr 2026 - 20:15

score 95 · Answer 4 · 2026-04-15 20:23:35

95

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Calculate $ \lim_{n\to \infty} \frac{n}{\ln(n)} \int_{1}^{n^2} \frac{\ln(x)}{x^2+nx+n^2}\,dx $

Published on 15 Apr 2026 - 20:23

score 59 · Answer 5 · 2026-04-11 08:16:32

59

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How to prove a limit is irrational

Published on 11 Apr 2026 - 8:16

score 122 · Answer 6 · 2026-04-17 13:03:31

122

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limit of trigonometric function to infinity

Published on 17 Apr 2026 - 13:03

score 209 · Answer 7 · 2026-04-16 13:23:51

209

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$\frac{1}{n}-\sin(\frac{1}{n})\sim\frac{1}{6n^3}$?

Published on 16 Apr 2026 - 13:23

score 64 · Answer 8 · 2026-04-16 12:11:55

64

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Tips on evaluating $\lim_{x \to 0} \frac{\sqrt{1-\cos(x^2)}}{1-\cos x}$?

Published on 16 Apr 2026 - 12:11

score 50 · Answer 9 · 2026-04-16 04:20:02

50

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Simplification of $\frac{\sqrt{n}}{\sqrt{4n+\sqrt{n}} + 2\sqrt{n}}$

Published on 16 Apr 2026 - 4:20

score 81 · Answer 10 · 2026-04-13 03:27:20

81

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What is $\lim_{n\to\infty}n!^{1/n}$?

Published on 13 Apr 2026 - 3:27

score 1k · Answer 11 · 2026-04-15 03:38:17

1k

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How do I prove that $a_n=\sum_{k=1}^{n} \frac{1}{k}$ is not a Cauchy sequence?

Published on 15 Apr 2026 - 3:38

score 59 · Answer 12 · 2026-04-11 22:43:27

59

Views

Knowing which approach to use in evaluating limits with multiple variables (x and y)

Published on 11 Apr 2026 - 22:43

score 281 · Answer 13 · 2026-04-16 14:14:34

281

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Evaluating $\lim_{x\to-\infty} \frac{ 8x + 6}{\sqrt{x^2+8x} - x}$

Published on 16 Apr 2026 - 14:14

score 60 · Answer 14 · 2026-04-29 15:27:15

60

Views

Does $\sum_{n = 1}^{\infty} \frac{1}{2^n}$ converges?

Published on 29 Apr 2026 - 15:27

score 14 · Answer 15 · 2026-04-11 08:43:37

14

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Finding the limit of decreasing function

Published on 11 Apr 2026 - 8:43

List Question

Solve limit similar to the well-known one

Determining the minimal length of the hypotenuse

Finding a limit with power: $ \lim_ {x \to \infty} \left( \frac {7x+10}{1+7x} \right)^{x/3} $

Calculate $ \lim_{n\to \infty} \frac{n}{\ln(n)} \int_{1}^{n^2} \frac{\ln(x)}{x^2+nx+n^2}\,dx $

How to prove a limit is irrational

limit of trigonometric function to infinity

$\frac{1}{n}-\sin(\frac{1}{n})\sim\frac{1}{6n^3}$?

Tips on evaluating $\lim_{x \to 0} \frac{\sqrt{1-\cos(x^2)}}{1-\cos x}$?

Simplification of $\frac{\sqrt{n}}{\sqrt{4n+\sqrt{n}} + 2\sqrt{n}}$

What is $\lim_{n\to\infty}n!^{1/n}$?

How do I prove that $a_n=\sum_{k=1}^{n} \frac{1}{k}$ is not a Cauchy sequence?

Knowing which approach to use in evaluating limits with multiple variables (x and y)

Evaluating $\lim_{x\to-\infty} \frac{ 8x + 6}{\sqrt{x^2+8x} - x}$

Does $\sum_{n = 1}^{\infty} \frac{1}{2^n}$ converges?

Finding the limit of decreasing function

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