|December 1st, 2016, 01:49 PM||#1|
Joined: Nov 2016
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= 1-1/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= 1-1/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|
Joined: May 2007
$\displaystyle 2^k$ subsequence becomes infinite. There is something wrong with your statement of the problem.
|December 3rd, 2016, 11:38 AM||#3|
Joined: Jan 2015
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