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November 6th, 2016, 12:43 PM  #1 
Senior Member Joined: Feb 2014 Posts: 114 Thanks: 1  These summations are equal?
Hello, These summation is the same? Thanks 
November 6th, 2016, 01:15 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,614 Thanks: 617 
No. $\displaystyle \sum_k kq^k$ converges for q < 1. $\displaystyle \sum_k k \sum_k q^k$ diverges for all q (not = 0).


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