let-give-f-n-x-1-n-n-sin-xt-t-e-t-dt-1-find-lim-n-f-n-x-2-find-another-form-of-f-n-x-by-calculating-f-n-x-

Question Number 30475 by abdo imad last updated on 22/Feb/18

l e t g i v e f_{n} (x) = \int_{\frac{1}{n}}^{n} \frac{s i n (x t)}{t} e^{- t} d t

1) f i n d {l i m}_{n \to \infty} f_{n} (x)

2) f i n d a n o t h e r f o r m o f f_{n} (x) b y c a l c u l a t i n g f_{n}^{^{'}} (x) .