1-calculate-u-n-0-e-nx-ln-1-x-dx-with-n-integr-natural-2-calculate-lim-n-u-n-3-find-n-0-u-n-

Question Number 47063 by maxmathsup by imad last updated on 04/Nov/18

1) c a l c u l a t e u_{n} = \int_{0}^{\infty} e^{- n x} l n (1 + x) d x w i t h n i n t e g r n a t u r a l

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

3) f i n d \sum_{n = 0}^{\infty} u_{n}