Question

How to prove this question by Ramanujan?

score 184 · Answer 1 · 2026-04-11 07:06:57

184

Views

How to prove this question by Ramanujan?

Published on 11 Apr 2026 - 7:06

score 446 · Answer 2 · 2026-04-08 22:12:07

446

Views

How to calculate a negative feedback loop?

Published on 08 Apr 2026 - 22:12

score 152 · Answer 3 · 2026-04-16 19:02:39

152

Views

Show that $\sum_{n=2}^\infty \frac{x^n}{n(n-1)} = x + (1-x)\log(1-x)$ for $|x|<1$.

Published on 16 Apr 2026 - 19:02

score 98 · Answer 4 · 2026-04-13 22:35:51

98

Views

Leibnitz series? $\sum\limits_{n=1}^{\infty} (-1)^{n} \frac{n^{2} +3n - \sin(n)}{n^{4}-\arctan(n^{2})}$

Published on 13 Apr 2026 - 22:35

score 62 · Answer 5 · 2026-04-14 17:26:25

62

Views

Convergence of $\sum_{i\ge 1} (e^{(-1)^i\sin (\frac{1}{i})}-1)$

Published on 14 Apr 2026 - 17:26

score 162 · Answer 6 · 2026-04-16 04:05:03

162

Views

Help on evaluating $\int_{0}^{\infty}\frac{\cos\frac2x}{(x^2+4)^2}dx$

Published on 16 Apr 2026 - 4:05

score 1.1k · Answer 7 · 2026-04-14 19:24:40

1.1k

Views

Find the minimum number of terms needed to approximate the series ... correct to 1DP

Published on 14 Apr 2026 - 19:24

score 63 · Answer 8 · 2026-04-10 17:53:30

63

Views

Amount of different numbers in a sequence

Published on 10 Apr 2026 - 17:53

score 372 · Answer 9 · 2026-04-10 17:06:32

372

Views

Calculus of variation with discontinuous solutions

Published on 10 Apr 2026 - 17:06

score 54 · Answer 10 · 2026-04-15 23:28:53

54

Views

Behavior of :$\sum_{n=k}^{+\infty} n^{-\frac{n}{\log n}}$ with $ k$ is natural number

Published on 15 Apr 2026 - 23:28

score 437 · Answer 11 · 2026-04-14 05:32:08

437

Views

What about of this integral involving the Gudermannian function $\int_0^\infty \frac{\operatorname{gd}(x)}{e^x-1}\mathrm dx$?

Published on 14 Apr 2026 - 5:32

score 463 · Answer 12 · 2026-04-14 10:57:14

463

Views

Is taking the lim of the series the same to taking the series of the lims?

Published on 14 Apr 2026 - 10:57

score 86 · Answer 13 · 2026-04-16 03:30:00

86

Views

If $(k_n)$ is a sequence in $K \subseteq \mathbb{R}$ such that $k_n \to k_0 \not\in K$, then there exists an unbounded continuous function on $K$

Published on 16 Apr 2026 - 3:30

score 124 · Answer 14 · 2026-04-10 18:27:37

124

Views

Kind of a closed form for the Möbius function as the number of points on n-dimensional hyperboloids.

Published on 10 Apr 2026 - 18:27

score 120 · Answer 15 · 2026-04-16 09:33:56

120

Views

Does the following series converge uniformly in $[1,\infty)$? $\sum_{n=1}^\infty \frac{x^n}{(1+x)(1+x^2)\cdots (1+x^n)}$

Published on 16 Apr 2026 - 9:33

List Question

How to prove this question by Ramanujan?

How to calculate a negative feedback loop?

Show that $\sum_{n=2}^\infty \frac{x^n}{n(n-1)} = x + (1-x)\log(1-x)$ for $|x|<1$.

Leibnitz series? $\sum\limits_{n=1}^{\infty} (-1)^{n} \frac{n^{2} +3n - \sin(n)}{n^{4}-\arctan(n^{2})}$

Convergence of $\sum_{i\ge 1} (e^{(-1)^i\sin (\frac{1}{i})}-1)$

Help on evaluating $\int_{0}^{\infty}\frac{\cos\frac2x}{(x^2+4)^2}dx$

Find the minimum number of terms needed to approximate the series ... correct to 1DP

Amount of different numbers in a sequence

Calculus of variation with discontinuous solutions

Behavior of :$\sum_{n=k}^{+\infty} n^{-\frac{n}{\log n}}$ with $ k$ is natural number

What about of this integral involving the Gudermannian function $\int_0^\infty \frac{\operatorname{gd}(x)}{e^x-1}\mathrm dx$?

Is taking the lim of the series the same to taking the series of the lims?

If $(k_n)$ is a sequence in $K \subseteq \mathbb{R}$ such that $k_n \to k_0 \not\in K$, then there exists an unbounded continuous function on $K$

Kind of a closed form for the Möbius function as the number of points on n-dimensional hyperboloids.

Does the following series converge uniformly in $[1,\infty)$? $\sum_{n=1}^\infty \frac{x^n}{(1+x)(1+x^2)\cdots (1+x^n)}$

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