Question

$\sum_{n=1}^\infty u_n $ converges uniformly on $[a,b]$, but $\sum_{n=1}^\infty |u_n| $ doesn't

score 173 · Answer 1 · 2026-04-17 01:39:29

173

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$\sum_{n=1}^\infty u_n $ converges uniformly on $[a,b]$, but $\sum_{n=1}^\infty |u_n| $ doesn't

Published on 17 Apr 2026 - 1:39

score 180 · Answer 2 · 2026-04-15 06:06:10

180

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Evaluate the Finite Sum with Binomial Coefficient

Published on 15 Apr 2026 - 6:06

score 40 · Answer 3 · 2026-04-12 16:58:28

40

Views

Prove Value of Summation with Combinatoric

Published on 12 Apr 2026 - 16:58

score 35 · Answer 4 · 2026-04-10 12:08:38

35

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score 111 · Answer 5 · 2026-04-15 00:58:07

111

Views

Prove that $\sum\limits_{n=1}^{2000} \frac {1}{n^3+3n^2+2n}\lt \frac {1}{4}$

Published on 15 Apr 2026 - 0:58

score 318 · Answer 6 · 2026-05-10 15:56:31

318

Views

A sum of series problem: $\frac{3}{1!+2!+3!} + \frac{4}{2!+3!+4!} + \cdots + \frac{2008}{2006!+2007!+2008!}$

Published on 10 May 2026 - 15:56

score 370 · Answer 7 · 2026-04-15 04:40:35

370

Views

Taylor series of $\frac{\sin x}{x}$

Published on 15 Apr 2026 - 4:40

score 58 · Answer 8 · 2026-05-10 20:51:56

58

Views

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Published on 10 May 2026 - 20:51

score 49 · Answer 9 · 2026-04-15 11:10:54

49

Views

Number of even terms in a polynomial related to an exponent

Published on 15 Apr 2026 - 11:10

score 124 · Answer 10 · 2026-05-10 13:51:15

124

Views

Prove the identity $ \sum\limits_{i=k}^{n} \frac{1}{(i-k)! (a+i)_{n-i}}={\frac {a+n}{ \left( a{+} k \right) (n{-}k)! } }.$

Published on 10 May 2026 - 13:51

score 52 · Answer 11 · 2026-05-10 22:05:28

52

Views

Summation to a formula

Published on 10 May 2026 - 22:05

score 103 · Answer 12 · 2026-05-10 13:37:18

103

Views

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Published on 10 May 2026 - 13:37

score 82 · Answer 13 · 2026-04-10 19:46:33

82

Views

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Published on 10 Apr 2026 - 19:46

score 66 · Answer 14 · 2026-05-10 16:06:24

66

Views

Fitting a constant multiplier to a series to attain a specific sum at a specific length.

Published on 10 May 2026 - 16:06

score 2.8k · Answer 15 · 2026-05-10 19:14:44

2.8k

Views

Combined geometric and arithmetic series partial sum

Published on 10 May 2026 - 19:14

List Question

$\sum_{n=1}^\infty u_n $ converges uniformly on $[a,b]$, but $\sum_{n=1}^\infty |u_n| $ doesn't

Evaluate the Finite Sum with Binomial Coefficient

Prove Value of Summation with Combinatoric

How to solve series that produces i

Prove that $\sum\limits_{n=1}^{2000} \frac {1}{n^3+3n^2+2n}\lt \frac {1}{4}$

A sum of series problem: $\frac{3}{1!+2!+3!} + \frac{4}{2!+3!+4!} + \cdots + \frac{2008}{2006!+2007!+2008!}$

Taylor series of $\frac{\sin x}{x}$

Help in summing up this series involving binomial coefficients?

Number of even terms in a polynomial related to an exponent

Prove the identity $ \sum\limits_{i=k}^{n} \frac{1}{(i-k)! (a+i)_{n-i}}={\frac {a+n}{ \left( a{+} k \right) (n{-}k)! } }.$

Summation to a formula

Index of summation for a product

How to find the sum upto n terms?

Fitting a constant multiplier to a series to attain a specific sum at a specific length.

Combined geometric and arithmetic series partial sum

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