prove-that-x-0-pi-4-x-tanx-2x-2-find-n-and-n-from-R-n-k-2-n-tan-pi-2n-n-

Question Number 32284 by abdo imad last updated on 22/Mar/18

p r o v e t h a t \forall x \in [0, \frac{π}{4}] x ⩽ t a n x ⩽ 2 x

2) f i n d α_{n} a n d β_{n} f r o m R / α_{n} ⩽ \sum_{k = 2}^{n} t a n (\frac{π}{2 n}) ⩽ β_{n}