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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