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November 20th, 2013, 07:33 AM  #1 
Member Joined: Jan 2013 Posts: 96 Thanks: 0  Limit 2
Let be a convergent sequence. If , find .

November 20th, 2013, 10:25 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Limit 2
You can find the answers by assuming the sequence is constant. You should be able to turn this into a rigorous proof if you sprinkle in enough epsilons and deltas. I get 1/2 and 1 as the answers FWIW. Probably the answer key only mentions the latter. 
November 22nd, 2013, 10:51 AM  #3  
Senior Member Joined: Sep 2012 From: British Columbia, Canada Posts: 764 Thanks: 53  Re: Limit 2 Quote:
 
November 23rd, 2013, 08:42 AM  #4 
Member Joined: Jan 2013 Posts: 96 Thanks: 0  Re: Limit 2
Any solution, please?


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