let-U-n-0-e-n-x-2-x-2-3-2-dx-1-find-U-n-interms-of-n-2-calvulate-lim-n-U-n-3-study-the-serie-U-n-

Question Number 59999 by Mr X pcx last updated on 16/May/19

l e t U_{n} = \int_{0}^{\infty} \frac{e^{- n [x^{2}]}}{{(x^{2} + 3)}^{2}} d x

1) f i n d U_{n} i n t e r m s o f n

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

3) s t u d y t h e s e r i e Σ U_{n}