December 1st, 2016, 12:49 PM  #1 
Member Joined: Nov 2016 From: Kansas Posts: 56 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, 01:39 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,344 Thanks: 534 
$\displaystyle 2^k$ subsequence becomes infinite. There is something wrong with your statement of the problem.

December 3rd, 2016, 10:38 AM  #3  
Math Team Joined: Jan 2015 From: Alabama Posts: 2,741 Thanks: 710  Quote:
 

Tags 
sequences, subsequences 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
sequences  ely_en  Algebra  1  November 11th, 2011 01:07 PM 
sequences  sat  Real Analysis  0  September 14th, 2011 07:50 AM 
sequences  remeday86  Number Theory  2  July 22nd, 2010 05:17 AM 
Sequences  Kiranpreet  Algebra  1  November 11th, 2008 02:48 PM 
sequences and series: Arithmetic Sequences  cindyyo  Algebra  2  August 20th, 2008 02:40 AM 