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Telescoping Series. Let {an} ∞ n=0 be a sequence of real numbers converging to zero, limn→∞...

Telescoping Series. Let {an} ∞ n=0 be a sequence of real numbers converging to zero, limn→∞ an = 0. Let bn = an − an+1. Then the series X∞ n=0 bn converges.

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