Question

Is a power series pointwise convergent in its interval of convergence?

score 903 · Answer 1 · 2026-04-17 11:36:44

903

Views

Is a power series pointwise convergent in its interval of convergence?

Published on 17 Apr 2026 - 11:36

score 103 · Answer 2 · 2026-04-16 17:47:46

103

Views

If a series converges uniformly on $[a+\varepsilon,b) $ for all $\varepsilon>0$ and pointwise on $[a,b)$, is then the convergence uniform on $[a,b) $?

Published on 16 Apr 2026 - 17:47

score 63 · Answer 3 · 2026-04-15 23:31:51

63

Views

Uniform convergence of the sequence of function.

Published on 15 Apr 2026 - 23:31

score 665 · Answer 4 · 2026-04-17 08:17:51

665

Views

Showing convergence of the sequence of functions defined by $f_n = \frac{1}{nx +1}$

Published on 17 Apr 2026 - 8:17

score 189 · Answer 5 · 2026-04-11 18:11:16

189

Views

Equicontinuity of family of polynomial approximations

Published on 11 Apr 2026 - 18:11

score 33 · Answer 6 · 2026-04-13 07:06:35

33

Views

Uniform convergence of a function series

Published on 13 Apr 2026 - 7:06

score 55 · Answer 7 · 2026-04-12 03:19:57

55

Views

Investigating whether the series converges uniformly using the Weierstrass M-test.

Published on 12 Apr 2026 - 3:19

score 51 · Answer 8 · 2026-04-11 18:53:15

51

Views

A trapezoidal approximation for a sequence of uniformly converging functions

Published on 11 Apr 2026 - 18:53

score 72 · Answer 9 · 2026-04-16 01:33:01

72

Views

Proving $\sum \frac{a_n}{n+x}$ converges uniformly on $[0,+\infty)$

Published on 16 Apr 2026 - 1:33

score 81 · Answer 10 · 2026-04-15 00:27:46

81

Views

If a sequence of functions tends to infinity pointwise, does it also tend to infinity uniformly?

Published on 15 Apr 2026 - 0:27

score 55 · Answer 11 · 2026-04-17 06:48:39

55

Views

If a family of sequences converge to the same limit $g$ and uniformly approach each other, do they uniformly converge to $g$?

Published on 17 Apr 2026 - 6:48

score 110 · Answer 12 · 2026-04-16 07:43:24

110

Views

Prove uniform convergence of $\sum_{n=1}^\infty (-1)^{m+1} \frac{2}{m\pi} \sin(m \pi x)$

Published on 16 Apr 2026 - 7:43

score 812 · Answer 13 · 2026-04-11 23:54:50

812

Views

Differentiation and Uniform Convergence

Published on 11 Apr 2026 - 23:54

score 304 · Answer 14 · 2026-04-13 12:46:02

304

Views

Do I need to check if a series converges absolutely first to be able to use Weierstrass' M-test?

Published on 13 Apr 2026 - 12:46

score 174 · Answer 15 · 2026-04-15 10:06:14

174

Views

can we conclude that $f_n^2\rightarrow f^2$ uniformly on $(-\infty, \infty)$?

Published on 15 Apr 2026 - 10:06

List Question

Is a power series pointwise convergent in its interval of convergence?

If a series converges uniformly on $[a+\varepsilon,b) $ for all $\varepsilon>0$ and pointwise on $[a,b)$, is then the convergence uniform on $[a,b) $?

Uniform convergence of the sequence of function.

Showing convergence of the sequence of functions defined by $f_n = \frac{1}{nx +1}$

Equicontinuity of family of polynomial approximations

Uniform convergence of a function series

Investigating whether the series converges uniformly using the Weierstrass M-test.

A trapezoidal approximation for a sequence of uniformly converging functions

Proving $\sum \frac{a_n}{n+x}$ converges uniformly on $[0,+\infty)$

If a sequence of functions tends to infinity pointwise, does it also tend to infinity uniformly?

If a family of sequences converge to the same limit $g$ and uniformly approach each other, do they uniformly converge to $g$?

Prove uniform convergence of $\sum_{n=1}^\infty (-1)^{m+1} \frac{2}{m\pi} \sin(m \pi x)$

Differentiation and Uniform Convergence

Do I need to check if a series converges absolutely first to be able to use Weierstrass' M-test?

can we conclude that $f_n^2\rightarrow f^2$ uniformly on $(-\infty, \infty)$?

Trending Questions

Popular # Hahtags

Popular Questions