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 Σ U


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

$l e t U_{n} = \int_{0}^{\infty} \frac{e^{- n [x^{2}]}}{{(x^{2} + 3)}^{2}} d x$ $1) f i n d U_{n} i n t e r m s o f n$ $2) c a l v u l a t e {l i m}_{n \to + \infty} U_{n}$ $3) s t u d y t h e s e r i e Σ U_{n}$
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