let-x-0-1-prove-that-the-equation-tan-pix-2-pi-2nx-have-only-one-solution-x-n-2-study-tbe-sequence-x-n-and-find-a-equivalent-of-x-n-

Question Number 50394 by Abdo msup. last updated on 16/Dec/18

l e t x \in] 0, 1 [p r o v e t h a t t h e e q u a t i o n

t a n (\frac{π x}{2}) = \frac{π}{2 n x} h a v e o n l y o n e s o l u t i o n x_{n}

2) s t u d y t b e s e q u e n c e (x_{n}) a n d f i n d a e q u i v a l e n t o f x_{n}