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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