let x∈]0,1[ prove that the equation tan(((πx)/2))=(π/(2nx)) have only one solution x_n 2) study tbe sequence (x_n ) and find a equivalent of x


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

$l e t x \in] 0, 1 [p r o v e t h a t t h e e q u a t i o n$ $t a n (\frac{π x}{2}) = \frac{π}{2 n x} h a v e o n l y o n e s o l u t i o n x_{n}$ $2) s t u d y t b e s e q u e n c e (x_{n}) a n d f i n d a e q u i v a l e n t o f x_{n}$
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