December 1st, 2016, 01:49 PM  #1 
Newbie Joined: Nov 2016 From: Kansas Posts: 14 Thanks: 0  Sequences
So the question was of two parts of which I proved the first one. The second part goes as follows: ck= 2^k for k is even and ck= 11/k for which k is odd. I have to prove that lim ck=1. I know that these two are subsequences and can prove for ck= 11/k approaches 1 but how to prove for ck=2^k? It would be of great help if someone could show this or overall how to solve this part. 
December 1st, 2016, 02:39 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,173 Thanks: 477 
$\displaystyle 2^k$ subsequence becomes infinite. There is something wrong with your statement of the problem.

December 3rd, 2016, 11:38 AM  #3  
Math Team Joined: Jan 2015 From: Alabama Posts: 2,243 Thanks: 559  Quote:
 

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