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May 11th, 2017, 01:04 PM   #1
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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.
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May 11th, 2017, 02:28 PM   #2
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Your first answer suffices and is what is expected. Its radius of convergence is 2.
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