let-u-k-pi-2-kpi-pi-2-k-1-pi-e-t-cost-dt-1-calculate-u-k-2-let-A-n-k-0-n-u-k-find-lim-n-A-n-

Question Number 42797 by maxmathsup by imad last updated on 02/Sep/18

l e t u_{k} = \int_{- \frac{π}{2} + k π}^{- \frac{π}{2} + (k + 1) π} e^{- t} c o s t d t

1) c a l c u l a t e u_{k}

2) l e t A_{n} = \sum_{k = 0}^{n} u_{k} f i n d {l i m}_{n \to + \infty} A_{n}

Commented by math khazana by abdo last updated on 03/Sep/18

A_{n} = \sum_{k = 0}^{n} ∣ u_{k} ∣