The series is...
(1)
Because is , and the series...
(2)
... converges for , the series (1) and (2) have the same radious of convergence...
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In this case we can prove the convergence of the series...
(1)
... using the 'comparison test'...
Convergence tests - Wikipedia, the free encyclopedia
The series to be compared are...
,
, (2)
The series of the is 'geometric' and it converges for . Since is the convergence test extablishes that the (1) converges also for ...
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