Question

Infinite network of resistors: an alternative solution (let's discuss about it!)

score 445 · Answer 1 · 2026-04-12 23:36:31

445

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Infinite network of resistors: an alternative solution (let's discuss about it!)

Published on 12 Apr 2026 - 23:36

score 3.1k · Answer 2 · 2026-04-24 22:50:08

3.1k

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How to understand the function $o(h) + o(h) = o(h)$?

Published on 24 Apr 2026 - 22:50

score 121 · Answer 3 · 2026-04-14 04:48:24

121

Views

Proving stirling approximation result.

Published on 14 Apr 2026 - 4:48

score 90 · Answer 4 · 2026-04-12 12:30:22

90

Views

Prove limit using epsilon-delta definition

Published on 12 Apr 2026 - 12:30

score 206 · Answer 5 · 2026-04-10 03:34:17

206

Views

A non-zero continuous function such that summing over equally spaced values always gives zero

Published on 10 Apr 2026 - 3:34

score 101 · Answer 6 · 2026-04-15 10:43:13

101

Views

Result of $\lim_{n\to\infty} \cos(\pi n)\sin(\pi n)$

Published on 15 Apr 2026 - 10:43

score 82 · Answer 7 · 2026-04-17 04:38:37

82

Views

Result of $\lim_{n\to\infty} (1+ \sqrt{n+1} -\sqrt{n})^{\sqrt{n}}$

Published on 17 Apr 2026 - 4:38

score 73 · Answer 8 · 2026-04-11 22:47:52

73

Views

Limits of a field point a distance z from a line charge

Published on 11 Apr 2026 - 22:47

score 140 · Answer 9 · 2026-04-16 07:36:38

140

Views

trigonometric limit with integral: $\lim_{\alpha\to 0}\int^{\alpha}_{0}\frac{dx}{\sqrt{\cos x -\cos \alpha}}$

Published on 16 Apr 2026 - 7:36

score 79 · Answer 10 · 2026-04-16 00:12:57

79

Views

Evaluate $\lim\limits_{n \to \infty}\frac{\frac{\ln2}{2}+\frac{\ln3}{3}+\cdots+\frac{\ln n}{n}}{\ln^2 n}$.

Published on 16 Apr 2026 - 0:12

score 33 · Answer 11 · 2026-04-25 16:44:09

33

Views

How to show that $f : [0, \infty)^2 \setminus \{0,0\} \rightarrow [0, \infty)$ , $f(x,y) = x^y$ is not a continuous function?

Published on 25 Apr 2026 - 16:44

score 99 · Answer 12 · 2026-05-05 01:42:35

99

Views

Example of sequence which has every point of [0,1] as limit point if it exists

Published on 05 May 2026 - 1:42

score 302 · Answer 13 · 2026-04-15 05:54:05

302

Views

Evaluate the limit with exponents using L'Hôpital's rule or series expansion

Published on 15 Apr 2026 - 5:54

score 170 · Answer 14 · 2026-04-14 05:31:55

170

Views

Is there a way to express the set-theoretic limit in terms of topology, filters or ultrafilters?

Published on 14 Apr 2026 - 5:31

score 293 · Answer 15 · 2026-04-20 14:07:31

293

Views

Counterexample: If $\sum_{n=1}^{\infty}a_n=1$ and each $a_n\geq 0,$ then $\lim\limits_{n\to}na_n=0$

Published on 20 Apr 2026 - 14:07

List Question

Infinite network of resistors: an alternative solution (let's discuss about it!)

How to understand the function $o(h) + o(h) = o(h)$?

Proving stirling approximation result.

Prove limit using epsilon-delta definition

A non-zero continuous function such that summing over equally spaced values always gives zero

Result of $\lim_{n\to\infty} \cos(\pi n)\sin(\pi n)$

Result of $\lim_{n\to\infty} (1+ \sqrt{n+1} -\sqrt{n})^{\sqrt{n}}$

Limits of a field point a distance z from a line charge

trigonometric limit with integral: $\lim_{\alpha\to 0}\int^{\alpha}_{0}\frac{dx}{\sqrt{\cos x -\cos \alpha}}$

Evaluate $\lim\limits_{n \to \infty}\frac{\frac{\ln2}{2}+\frac{\ln3}{3}+\cdots+\frac{\ln n}{n}}{\ln^2 n}$.

How to show that $f : [0, \infty)^2 \setminus \{0,0\} \rightarrow [0, \infty)$ , $f(x,y) = x^y$ is not a continuous function?

Example of sequence which has every point of [0,1] as limit point if it exists

Evaluate the limit with exponents using L'Hôpital's rule or series expansion

Is there a way to express the set-theoretic limit in terms of topology, filters or ultrafilters?

Counterexample: If $\sum_{n=1}^{\infty}a_n=1$ and each $a_n\geq 0,$ then $\lim\limits_{n\to}na_n=0$

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