Stack Exchange Network

Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange
12,654
reputation
2
16
47

i707107

Here is a list of variants of 3 problems that I solved (last edit:5/23/2017):

  1. Determine if the sequence converges: $x_0>0$, $x_1>0$, $$ x_{n+2}=\frac{0.2 + x_{n+1}}{0.2 + x_n}. $$ The original problem can be found here: Prove that if $x_{n+2}=\frac{2+x_{n+1}}{2+x_n},$ then $x_n$ converges

  2. Determine if the series converges: $$ \sum_{n=1}^{\infty} \frac{|\sin n|\sin(\sqrt 2 n)}n. $$ The original problem can be found here: Determine whether $\sum_{n=1}^\infty \frac {(-1)^n|\sin(n)|}{n}$ converges

  3. Determine if the series converges: $$ \sum_{p \ \mathrm{prime} } \frac{\sin p}p. $$ The original problem can be found here:Regarding the sum $\sum_{p \ \text{prime}} \sin p$

339
answers
5
questions
~128k
people reached
  • Member for 6 years, 1 month
  • 1,545 profile views
  • Last seen 5 hours ago

Top Tags (219)

Score 179
Posts 60
Posts % 17
Score 178
Posts 60
Score 128
Posts 63
Score 111
Posts 26
Score 90
Posts 28
Score 89
Posts 43

Top Posts (344) All Questions Answers | Votes Newest

View all questions and answers

Badges (65)

Gold

2

Rarest

Silver

16

Rarest

Bronze

47

Rarest