let S_n = Σ_(k=0) ^n (((−1)^k )/(2k+1)) 1) give S_n interms of H_n 2)find lim_(n→+∞) S_n 3) let W_n = Σ_(k=0) ^n (((−1)^k )/(4k^2 −1)) find W_n interms of H_n calculate lim_(n→+∞) W


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Question Number 40047 by abdo mathsup 649 cc last updated on 15/Jul/18

$l e t S_{n} = \sum_{k = 0}^{n} \frac{{(- 1)}^{k}}{2 k + 1}$ $1) g i v e S_{n} i n t e r m s o f H_{n}$ $2) f i n d {l i m}_{n \to + \infty} S_{n}$ $3) l e t W_{n} = \sum_{k = 0}^{n} \frac{{(- 1)}^{k}}{4 k^{2} - 1}$ $f i n d W_{n} i n t e r m s o f H_{n}$ $c a l c u l a t e {l i m}_{n \to + \infty} W_{n}$
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