Post Reply 
 
Thread Rating:
  • 0 Votes - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Convergence of a series
05-12-2010, 11:25 AM
Post: #1
Convergence of a series
Suppose \(\left\{b_{k}\right\}\) has the property that:
\(\sum\limits_{k=1}^n \frac{n-k}{n} |b_{k}| \leq M \quad (\forall n)\quad\) Show that \(\sum\limits_{k=1}^\infty |b_{k}| < \infty\)
Find all posts by this user
Quote this message in a reply
05-26-2010, 07:25 AM
Post: #2
RE: Convergence of a series
\(\sum_{k=1}^n |b_k| \le 2\sum_{k=1}^n \frac{2n-k}{2n}|b_k| \le 2\sum_{k=1}^{2n} \frac{2n-k}{2n} |b_k| \le 2M\)
Find all posts by this user
Quote this message in a reply
09-04-2012, 07:51 PM
Post: #3
Other Solutions?
Welcome to other solutions
Find all posts by this user
Quote this message in a reply
Post Reply 


Forum Jump:


Contact Us | Software Frontier | Return to Top | Return to Content | Lite (Archive) Mode | RSS Syndication