1. Prove that each of the following series converges. 00 k - 3 (a) L k3 +...

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1. Prove that each of the following series converges.

00 k - 3

(a) L k3 + k + 1·

k=l

(c) f lo;k, p> l.

k=l 00 1 00 ( 1)

(d) L.jk k-l·

(e) L 10 + k k-e .

k=l k 3 k=l

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