Question

Limit of two logarithms subtraction

score 490 · Answer 1 · 2026-04-10 10:38:50

Limit of two logarithms subtraction

Published on 10 Apr 2026 - 10:38

score 47 · Answer 2 · 2026-04-12 21:41:18

Limit of $\mu(\theta)=\frac{e^{\theta}(\theta-1)+1}{(e^{\theta}-1)\theta}$ when $\theta \to \pm \infty$ & $\theta \to 0$

score 291 · Answer 3 · 2026-04-13 19:15:23

291

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Use the Sandwich theorem (Squeeze theorem) to find this limit:

Published on 13 Apr 2026 - 19:15

score 58 · Answer 4 · 2026-04-16 17:33:12

58

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Given that $f(x)\geq x^2,\;\;\forall\;x\in(0,\infty),\;\;a_{n+1}\leq a_n -2f(a_n),\;\;\forall n\geq 1,$ prove that $\liminf\limits_{n\to \infty}a_n=0$

Published on 16 Apr 2026 - 17:33

score 34 · Answer 5 · 2026-04-09 04:22:13

34

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Is this a discussed limit formula for "general" derivatives?

Published on 09 Apr 2026 - 4:22

score 292 · Answer 6 · 2026-04-10 14:38:30

292

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Proving a question about the average of a periodic function formula

Published on 10 Apr 2026 - 14:38

score 279 · Answer 7 · 2026-04-22 21:54:15

279

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Why is the derivative not $\lim x\to x_0$ instead of $\lim h\to 0$

Published on 22 Apr 2026 - 21:54

score 255 · Answer 8 · 2026-04-13 18:58:36

255

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Does the amount of positive integers $x \le n$ without middle divisors divided by $n$ converge to $\frac{3}{4}$?

Published on 13 Apr 2026 - 18:58

score 94 · Answer 9 · 2026-04-15 18:30:08

94

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Does $\lim\limits_{x\to 1^{-}}\sum_{n=1}^{\infty}\frac{x^n}{n(n+1)}$ exist?

Published on 15 Apr 2026 - 18:30

score 54 · Answer 10 · 2026-04-14 09:07:30

54

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Is this a valid way to find the limit of $f(x)$?

Published on 14 Apr 2026 - 9:07

score 69 · Answer 11 · 2026-04-16 01:34:24

69

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Proving that $\liminf\limits_{n\to \infty}\int f_n(x)dx\neq \int f(x)dx$

Published on 16 Apr 2026 - 1:34

score 115 · Answer 12 · 2026-04-12 20:24:31

115

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Limit of a Function involving tangent function and limits at infinity

Published on 12 Apr 2026 - 20:24

score 97 · Answer 13 · 2026-04-17 02:21:09

Implications of $\lim\limits_{n\to∞}\left[nP_j-\smash[b]{\frac{\exp(x_j)}{1+\frac1n\sum\limits_{k=1}^n\exp(x_k)}}\right]=0\ (\forall j\in\mathbb N)$

score 110 · Answer 14 · 2026-04-14 05:20:55

110

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Tricky limit which probably requires L'Hopital

Published on 14 Apr 2026 - 5:20

score 102 · Answer 15 · 2026-04-24 19:48:21

102

Views

How to solve the limit:$ \lim_{x \to 0,y \to 0} \frac{x^2y^2}{x^3+y^3} $

Published on 24 Apr 2026 - 19:48

List Question

Limit of two logarithms subtraction

Limit of $\mu(\theta)=\frac{e^{\theta}(\theta-1)+1}{(e^{\theta}-1)\theta}$ when $\theta \to \pm \infty$ & $\theta \to 0$

Use the Sandwich theorem (Squeeze theorem) to find this limit:

Given that $f(x)\geq x^2,\;\;\forall\;x\in(0,\infty),\;\;a_{n+1}\leq a_n -2f(a_n),\;\;\forall n\geq 1,$ prove that $\liminf\limits_{n\to \infty}a_n=0$

Is this a discussed limit formula for "general" derivatives?

Proving a question about the average of a periodic function formula

Why is the derivative not $\lim x\to x_0$ instead of $\lim h\to 0$

Does the amount of positive integers $x \le n$ without middle divisors divided by $n$ converge to $\frac{3}{4}$?

Does $\lim\limits_{x\to 1^{-}}\sum_{n=1}^{\infty}\frac{x^n}{n(n+1)}$ exist?

Is this a valid way to find the limit of $f(x)$?

Proving that $\liminf\limits_{n\to \infty}\int f_n(x)dx\neq \int f(x)dx$

Limit of a Function involving tangent function and limits at infinity

Implications of $\lim\limits_{n\to∞}\left[nP_j-\smash[b]{\frac{\exp(x_j)}{1+\frac1n\sum\limits_{k=1}^n\exp(x_k)}}\right]=0\ (\forall j\in\mathbb N)$

Tricky limit which probably requires L'Hopital

How to solve the limit:$ \lim_{x \to 0,y \to 0} \frac{x^2y^2}{x^3+y^3} $

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