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 Σ u


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

$l e t u_{n} = \int_{1}^{\infty} e^{- t^{n}} d t$ $1) c a l c u l a t e {l i m}_{n \to \infty} u_{n}$ $2) f i n d a e q u i v a l e n t o f u_{n} (n \to \infty)$ $3) f i n d t h e r a d i u s o f c o n v e r g e n c e o f Σ u_{n} x^{n} .$
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