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Prove that the least positive value of x...

Prove that the least positive value of `x ,` satisfying `tanx=x+1,l i e sint h ein t e r v a l(pi/4,pi/2)dot`

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Let `f(x)=tan x` and `g(x)=x+1`, which could be graphically represented as follows :

From figure, `tan x=x+1` has infinitely many solution but the least positive value of `x in (pi/4, pi/2)`.
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