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(Solved): 12. If the nth partial sum of the series n=0an is sn=4n+32n+1lnnn, find ...

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12. If the

n^{t h}

partial sum of the series

\sum_{n = 0}^{\infty} a_{n}

is

s_{n} = \frac{2 n + 1}{4 n + 3} - \frac{n}{l n n}

, find

\sum_{n = 0}^{\infty} a_{n}

. (a)

\frac{1}{2}

(b)

\frac{1}{3}

(c)

\frac{1}{4}

(d)

\frac{2}{3}

(e) divergent

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The nth partial sum of an infinite series, , is the sum of the first n terms of the series, ...

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