Question

Continuity of $\tan\left(\frac{\pi}{4}+\ln x\right)^{\frac{1}{lnx}}$

score 518 · Answer 1 · 2026-04-16 07:51:26

518

Views

Continuity of $\tan\left(\frac{\pi}{4}+\ln x\right)^{\frac{1}{lnx}}$

Published on 16 Apr 2026 - 7:51

score 270 · Answer 2 · 2026-04-29 12:23:54

270

Views

Proof that Integral over the arc vanishes as $R\rightarrow\infty$ in Inverse Mellin Transform of $\Gamma(s)$

Published on 29 Apr 2026 - 12:23

score 232 · Answer 3 · 2026-05-05 11:40:12

232

Views

Closures and interiors of real sequences

Published on 05 May 2026 - 11:40

score 182 · Answer 4 · 2026-05-05 17:53:19

182

Views

Proof for $\sum_{k=2}^\infty \frac{1}{k^4-1}= \frac{7}{8}-\frac{\pi}{4}\coth(\pi)$

Published on 05 May 2026 - 17:53

score 64 · Answer 5 · 2026-04-13 22:39:59

64

Views

Limit of an exponential function

Published on 13 Apr 2026 - 22:39

score 48 · Answer 6 · 2026-04-12 07:13:19

48

Views

Can't find the way to solve this problem related to limits.

Published on 12 Apr 2026 - 7:13

score 59 · Answer 7 · 2026-04-09 13:38:12

59

Views

$\frac{x^n}{x^n+1}\to f$ not uniformely, but $\lim_{n\to\infty}\int_0^2\frac{x^n}{x^n+1}dx=\int_0^2f(x)dx$

Published on 09 Apr 2026 - 13:38

score 63 · Answer 8 · 2026-04-16 10:47:01

63

Views

Asymptotic behaviour of the function $f(x) = \frac {k}{(a^2 + x^2)^{ {3}/{2}}}\vec e_x$

Published on 16 Apr 2026 - 10:47

score 103 · Answer 9 · 2026-04-15 01:25:02

103

Views

Calculating the limit of $\sqrt[n]{n!}$ as $n \rightarrow \infty$

Published on 15 Apr 2026 - 1:25

score 109 · Answer 10 · 2026-04-11 01:28:10

109

Views

Finding limit for infinite quantities.

Published on 11 Apr 2026 - 1:28

score 169 · Answer 11 · 2026-04-16 04:38:12

169

Views

Prove that all negative integers are the limit points of $S=\{-m + \frac{1}{n} | m, n \in \mathbb{N}\}$

Published on 16 Apr 2026 - 4:38

score 57 · Answer 12 · 2026-04-12 01:08:00

57

Views

Show that a limit does not exist

Published on 12 Apr 2026 - 1:08

score 131 · Answer 13 · 2026-04-11 13:13:34

131

Views

Without squeeze theorem

Published on 11 Apr 2026 - 13:13

score 5.3k · Answer 14 · 2026-04-13 14:50:22

5.3k

Views

Can the sum of two limits exist when one of them exists and the other doesn't?

Published on 13 Apr 2026 - 14:50

score 3.5k · Answer 15 · 2026-05-05 17:39:07

3.5k

Views

what is $e^{ix}$ as $x \to \infty$

Published on 05 May 2026 - 17:39

List Question

Continuity of $\tan\left(\frac{\pi}{4}+\ln x\right)^{\frac{1}{lnx}}$

Proof that Integral over the arc vanishes as $R\rightarrow\infty$ in Inverse Mellin Transform of $\Gamma(s)$

Closures and interiors of real sequences

Proof for $\sum_{k=2}^\infty \frac{1}{k^4-1}= \frac{7}{8}-\frac{\pi}{4}\coth(\pi)$

Limit of an exponential function

Can't find the way to solve this problem related to limits.

$\frac{x^n}{x^n+1}\to f$ not uniformely, but $\lim_{n\to\infty}\int_0^2\frac{x^n}{x^n+1}dx=\int_0^2f(x)dx$

Asymptotic behaviour of the function $f(x) = \frac {k}{(a^2 + x^2)^{ {3}/{2}}}\vec e_x$

Calculating the limit of $\sqrt[n]{n!}$ as $n \rightarrow \infty$

Finding limit for infinite quantities.

Prove that all negative integers are the limit points of $S=\{-m + \frac{1}{n} | m, n \in \mathbb{N}\}$

Show that a limit does not exist

Without squeeze theorem

Can the sum of two limits exist when one of them exists and the other doesn't?

what is $e^{ix}$ as $x \to \infty$

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