Question

Limit of $\frac{x^c-c^x}{x^x-c^c}$ as $x \rightarrow c$

score 1.8k · Answer 1 · 2026-04-14 02:47:15

1.8k

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Limit of $\frac{x^c-c^x}{x^x-c^c}$ as $x \rightarrow c$

Published on 14 Apr 2026 - 2:47

score 80 · Answer 2 · 2026-04-11 03:15:58

80

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Limits of trivial expressions involving the logarithmic function

Published on 11 Apr 2026 - 3:15

score 942 · Answer 3 · 2026-04-16 14:07:59

942

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How to evaluate $\lim_{x \rightarrow \infty} \left(\left(\frac{x+1}{x-1}\right)^x -e^2\right){x}^2$

Published on 16 Apr 2026 - 14:07

score 767 · Answer 4 · 2026-04-09 07:38:33

767

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Is the choice of epsilon delta free in limit definition?

Published on 09 Apr 2026 - 7:38

score 41 · Answer 5 · 2026-04-14 16:05:01

41

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Order of sum of first numbers powered to a complex or limit resolution

Published on 14 Apr 2026 - 16:05

score 78 · Answer 6 · 2026-04-16 06:14:54

78

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Prove that $\lim_{(x,y)\to(0,0)} {xy\over x^2-2y}$ does not exists

Published on 16 Apr 2026 - 6:14

score 184 · Answer 7 · 2026-04-15 19:01:00

184

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Calculating $\lim_{x \rightarrow 0} \frac{\tan x - \sin x}{x^3}$.

Published on 15 Apr 2026 - 19:01

score 34 · Answer 8 · 2026-04-13 10:49:28

34

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Compute the limit of complex function given

Published on 13 Apr 2026 - 10:49

score 106 · Answer 9 · 2026-04-16 18:55:22

106

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Evaluating $\lim\limits_{(x,y) \to (0,0)}x\ln\sqrt{\smash[b]{x^2+y^2}}$

Published on 16 Apr 2026 - 18:55

score 45 · Answer 10 · 2026-04-16 10:20:31

45

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Does $|\lim_{N \rightarrow \infty} f(N)|^2$ equal $\lim_{N \rightarrow \infty} |f(N)|^2$?

Published on 16 Apr 2026 - 10:20

score 70 · Answer 11 · 2026-04-12 11:40:43

70

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Proof Help: Showing Divergence and Convergence

Published on 12 Apr 2026 - 11:40

score 81 · Answer 12 · 2026-04-16 01:27:58

81

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Finding $\lim\limits_{n \to \infty} \int_{-n}^n f(1+\frac{x}{n^2})g(x)\,\mathrm dx$

Published on 16 Apr 2026 - 1:27

score 781 · Answer 13 · 2026-04-11 14:17:15

781

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Weird use of Glasser's Master Theorem

Published on 11 Apr 2026 - 14:17

score 82 · Answer 14 · 2026-04-14 12:03:11

82

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$u_n = 1/n^2$ if $n \in [\![k^2, (k+1)^2]\!] , k \in 2\mathbb{N}+1$ and $u_n = 1/([\sqrt{n}]^4+n-[\sqrt{n}]^2)$, does $\sum u_n$ converge

Published on 14 Apr 2026 - 12:03

score 311 · Answer 15 · 2026-04-12 18:55:24

311

Views

Is it always possible to calculate the limit of an elementary function.

Published on 12 Apr 2026 - 18:55

List Question

Limit of $\frac{x^c-c^x}{x^x-c^c}$ as $x \rightarrow c$

Limits of trivial expressions involving the logarithmic function

How to evaluate $\lim_{x \rightarrow \infty} \left(\left(\frac{x+1}{x-1}\right)^x -e^2\right){x}^2$

Is the choice of epsilon delta free in limit definition?

Order of sum of first numbers powered to a complex or limit resolution

Prove that $\lim_{(x,y)\to(0,0)} {xy\over x^2-2y}$ does not exists

Calculating $\lim_{x \rightarrow 0} \frac{\tan x - \sin x}{x^3}$.

Compute the limit of complex function given

Evaluating $\lim\limits_{(x,y) \to (0,0)}x\ln\sqrt{\smash[b]{x^2+y^2}}$

Does $|\lim_{N \rightarrow \infty} f(N)|^2$ equal $\lim_{N \rightarrow \infty} |f(N)|^2$?

Proof Help: Showing Divergence and Convergence

Finding $\lim\limits_{n \to \infty} \int_{-n}^n f(1+\frac{x}{n^2})g(x)\,\mathrm dx$

Weird use of Glasser's Master Theorem

$u_n = 1/n^2$ if $n \in [\![k^2, (k+1)^2]\!] , k \in 2\mathbb{N}+1$ and $u_n = 1/([\sqrt{n}]^4+n-[\sqrt{n}]^2)$, does $\sum u_n$ converge

Is it always possible to calculate the limit of an elementary function.

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