1. For each of the following series, let Sn represent its partial sums and S its value....
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1. For each of the following series, let Sn represent its partial sums and S its value.
Prove that S is finite and find an n so large that Sn approximates S to an accuracy of 10-2 .
00
(a) 2) _l)k (~ - arctank) .
(b) f (_~~kk2 Loo (-l)k 2.4 ... (2k)
(c) -- .
k2 1·3···(2k-1)
k=l k=l k=l
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