1-calculate-n-0-1-k-C-n-k-1-k-1-2-calculate-S-n-p-k-0-n-1-k-C-n-k-p-k-1-p-integr-natural-

Question Number 50359 by prof Abdo imad last updated on 16/Dec/18

1) c a l c u l a t e \sum_{n = 0}^{\infty} {(- 1)}^{k} C_{n}^{k} \frac{1}{k + 1}

2) c a l c u l a t e S_{n} (p) = \sum_{k = 0}^{n} {(- 1)}^{k} \frac{C_{n}^{k}}{p + k + 1}

p i n t e g r n a t u r a l .