Tuesday, 13 August 2013

proof writing - Prove the shift rule for series

Let N be a natural number. Then the series n=1an converges if and only if the series n=1aN+n converges.




I've tried splitting n=1an into n=1aN+n+Nn=1an but am not getting anywhere. I've also tried using the ϵ definition for convergence but am getting confused.

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