2. Prove that each of the following series converges and find its value. 00 (_I)k+l (a) 2:...

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2. Prove that each of the following series converges and find its value.

00 (_I)k+l

(a) 2: 'Irk k=l 00 3k 00

(c ) "~ 7k-l. (d)~"2 k

e- k •

k=l k=O

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