List questions from power-series

Published on 11 Apr 2026 - 16:51

62

Views

Show that a the sum function of a power series is differentiable twice and that $f''(x) = \frac{1}{49-7x}$

Published on 21 May 2020 - 12:32

97

Views

Limit of holomorphic function

Published on 12 Apr 2026 - 5:01

65

Views

Computing the sum of an alternating power series

Published on 12 Apr 2026 - 14:43

56

Views

How do we prove that a power series centered at $a\in\textbf{R}$ is continuous on the interval $(a-R,a+R)$?

Published on 11 Apr 2026 - 16:40

36

Views

Showing differentiability of a power series

Published on 22 May 2020 - 0:49

53

Views

Why is the $\sum _{k = 1}^{\infty }\frac{2k^2+3}{k} = (n + 1)n + 3H_n$?

Published on 22 May 2020 - 13:40

69

Views

Evaluate: $\sum_{k=1}^{n} x^{\frac{k(k+1)}2},$ where $x\in\mathbb R.$

Published on 22 May 2020 - 20:21

51

Views

Should I take $|ex|=1$ value?

Published on 10 Apr 2026 - 13:04

75

Views

Radius of convergence - power series - misunderstanding

Published on 24 May 2020 - 1:01

51

Views

Radius of a power series

Published on 24 May 2020 - 1:13

1.9k

Views

What does expanding $e^{2x}$ in powers of $\left(x-1\right)$ means?

Published on 24 May 2020 - 16:19

1k

Views

Proving $\pi=(27S-36)/(8\sqrt{3})$, where $S=\sum_{n=0}^\infty\frac{\left(\left\lfloor\frac{n}{2}\right\rfloor!\right)^2}{n!}$

Published on 27 Mar 2026 - 22:57

30

Views

Radius of convergence of a power series summing from $- \infty$ to $0$.

Published on 24 May 2020 - 20:34

63

Views

Are there references about universal power series and this statement?

Published on 10 Apr 2026 - 5:29

List Question

Period of trig functions

Show that a the sum function of a power series is differentiable twice and that $f''(x) = \frac{1}{49-7x}$

Limit of holomorphic function

Computing the sum of an alternating power series

How do we prove that a power series centered at $a\in\textbf{R}$ is continuous on the interval $(a-R,a+R)$?

Showing differentiability of a power series

Why is the $\sum _{k = 1}^{\infty }\frac{2k^2+3}{k} = (n + 1)n + 3H_n$?

Evaluate: $\sum_{k=1}^{n} x^{\frac{k(k+1)}2},$ where $x\in\mathbb R.$

Should I take $|ex|=1$ value?

Radius of convergence - power series - misunderstanding

Radius of a power series

What does expanding $e^{2x}$ in powers of $\left(x-1\right)$ means?

Proving $\pi=(27S-36)/(8\sqrt{3})$, where $S=\sum_{n=0}^\infty\frac{\left(\left\lfloor\frac{n}{2}\right\rfloor!\right)^2}{n!}$

Radius of convergence of a power series summing from $- \infty$ to $0$.

Are there references about universal power series and this statement?

Trending Questions

Popular # Hahtags

Popular Questions