Question

Prove that the following sequence converges

score 139 · Answer 1 · 2026-04-16 08:42:33

139

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Prove that the following sequence converges

Published on 16 Apr 2026 - 8:42

score 64 · Answer 2 · 2026-04-11 14:33:07

64

Views

Does the following series converges?

Published on 11 Apr 2026 - 14:33

score 69 · Answer 3 · 2026-04-15 23:30:44

69

Views

$u_{2018}= 5\,.2^{2018}$

Published on 15 Apr 2026 - 23:30

score 189 · Answer 4 · 2026-04-16 03:41:24

189

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Prove that if $\sum_{n=0}^\infty a_n$ is absolutely convergent and $\lim b_n=0$, then $\lim (a_0b_n+a_1b_{n-1}+...+a_nb_0)=0$.

Published on 16 Apr 2026 - 3:41

score 392 · Answer 5 · 2026-04-15 12:07:05

392

Views

If $f_n \rightarrow f$ is a sequence of $L^p$ and $g_n \rightarrow g$ a bounded sequence of $L^{\infty}$ then $f_ng_n \rightarrow fg$ in $L^p$

Published on 15 Apr 2026 - 12:07

score 31 · Answer 6 · 2026-04-17 00:16:00

31

Views

A sequence close to a decreasing sequence is nearly decreasing ?

Published on 17 Apr 2026 - 0:16

score 3.2k · Answer 7 · 2026-03-25 11:04:37

3.2k

Views

What is the sum of numbers between 250 and 350 which are divisible by 7?

Published on 25 Mar 2026 - 11:04

score 54 · Answer 8 · 2026-04-10 05:10:49

54

Views

Finding a limit of recursively given sequence

Published on 10 Apr 2026 - 5:10

score 40 · Answer 9 · 2026-04-14 11:18:42

What is wrong in my solution for (if $\Sigma a_n$ converges and $\{b_n\}$ is bounded and monotonic, then $\Sigma a_nb_n$ converges)?

score 49 · Answer 10 · 2026-04-14 14:32:28

49

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Asymptotics of $\sum_{k=m}^N u_k$ knowing the first term and $\frac {u_{k+1}}{u_k}$

Published on 14 Apr 2026 - 14:32

score 1.3k · Answer 11 · 2026-04-16 16:23:45

1.3k

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Series 1 - 1/2^2 + 1/3 - 1/4^2 + 1/5 - 1/6^2 + 1/7...

Published on 16 Apr 2026 - 16:23

score 1.6k · Answer 12 · 2026-04-16 21:04:34

1.6k

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Finding $\int^{1}_{0}\frac{\ln^2(x)}{\sqrt{4-x^2}}dx$

Published on 16 Apr 2026 - 21:04

score 101 · Answer 13 · 2026-04-14 17:24:11

101

Views

Sum of reciprocals of prime numbers, using alternating sings

Published on 14 Apr 2026 - 17:24

score 2.2k · Answer 14 · 2026-04-16 20:19:38

2.2k

Views

Why is the following sequence monotonically decreasing?

Published on 16 Apr 2026 - 20:19

score 121 · Answer 15 · 2026-04-14 15:58:12

121

Views

Non-repeating-digit integers of a given length and of a given base.

Published on 14 Apr 2026 - 15:58

List Question

Prove that the following sequence converges

Does the following series converges?

$u_{2018}= 5\,.2^{2018}$

Prove that if $\sum_{n=0}^\infty a_n$ is absolutely convergent and $\lim b_n=0$, then $\lim (a_0b_n+a_1b_{n-1}+...+a_nb_0)=0$.

If $f_n \rightarrow f$ is a sequence of $L^p$ and $g_n \rightarrow g$ a bounded sequence of $L^{\infty}$ then $f_ng_n \rightarrow fg$ in $L^p$

A sequence close to a decreasing sequence is nearly decreasing ?

What is the sum of numbers between 250 and 350 which are divisible by 7?

Finding a limit of recursively given sequence

What is wrong in my solution for (if $\Sigma a_n$ converges and $\{b_n\}$ is bounded and monotonic, then $\Sigma a_nb_n$ converges)?

Asymptotics of $\sum_{k=m}^N u_k$ knowing the first term and $\frac {u_{k+1}}{u_k}$

Series 1 - 1/2^2 + 1/3 - 1/4^2 + 1/5 - 1/6^2 + 1/7...

Finding $\int^{1}_{0}\frac{\ln^2(x)}{\sqrt{4-x^2}}dx$

Sum of reciprocals of prime numbers, using alternating sings

Why is the following sequence monotonically decreasing?

Non-repeating-digit integers of a given length and of a given base.

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