1.

For thefucntionf(x) =x cot^(-1) x , x ge 0

Answer»

there is atleast ONE `x in (0,1)` for which`cot^(-1) x =(x)/(1+x^(2))`
foratleastone x inthe interval`(0,oo) f(x+(2)/(PI)) -f(x) lt 1`
numberof SOLUTIONOF theequationf(x)=secx is 1
f(x)is strictlydecreasingin theinterval`(0,oo)`

Answer :B::D


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