let-give-S-n-k-1-n-k-p-p-N-and-n-1-find-the-radius-of-convergence-of-the-serie-n-1-x-n-S-n-

Question Number 28531 by abdo imad last updated on 26/Jan/18

l e t g i v e S_{n} = \sum_{k = 1}^{n} k^{p}, p \in N a n d n ⩾ 1

f i n d t h e r a d i u s o f c o n v e r g e n c e o f t h e s e r i e \sum_{n ⩾ 1} \frac{x^{n}}{S_{n}} .