let-u-n-1-e-t-n-dt-1-calculate-lim-n-u-n-2-find-a-equivalent-of-u-n-n-3-find-the-radius-of-convergence-of-u-n-x-n-

Question Number 31975 by abdo imad last updated on 17/Mar/18

l e t u_{n} = \int_{1}^{\infty} e^{- t^{n}} d t

1) c a l c u l a t e {l i m}_{n \to \infty} u_{n}

2) f i n d a e q u i v a l e n t o f u_{n} (n \to \infty)

3) 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 Σ u_{n} x^{n} .