Thread: show this series diverge
View Single Post
  #2  
Old July 3rd, 2009, 03:58 PM
Plato Plato is online now
MHF Contributor

  
Join Date: Aug 2006
Posts: 7,663
Thanks: 88
Thanked 2,844 Times in 2,609 Posts
Plato has a reputation beyond reputePlato has a reputation beyond reputePlato has a reputation beyond reputePlato has a reputation beyond reputePlato has a reputation beyond reputePlato has a reputation beyond reputePlato has a reputation beyond reputePlato has a reputation beyond reputePlato has a reputation beyond reputePlato has a reputation beyond reputePlato has a reputation beyond repute
Default
Quote:
Originally Posted by wellfed View Post
given a_n > 0 and lim(n a_n) = L with L \ne 0 show the series \Sigma a_n diverges.
It should be clear to you that L>0.
Use the limit comparsion test and compare a_n with \frac{1}{n}.
Reply With Quote
The following users thank Plato for this useful post:
Donate to MHF