May 11th, 2017, 01:04 PM  #1 
Newbie Joined: May 2017 From: California Posts: 1 Thanks: 0  Difficult Power Series
In class we were shown the following problem: Find a power series for: (4x)/(2+x) and determine the radius of convergence We worked it as a class and ended up with two opposing answers, and could not find an error in either set of work. The first set: The second set: Does anyone see an error in either of these? What is the answer to the problem? Thank you. Last edited by skipjack; May 11th, 2017 at 02:06 PM. 
May 11th, 2017, 02:28 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,053 Thanks: 1395 
Your first answer suffices and is what is expected. Its radius of convergence is 2.


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