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Let, f(x)=xsinpix, x gt0. Then for all n...

Let, `f(x)=xsinpix, x gt0`. Then for all natural numbers n, f'(x) vanishes at

A

a unique point in the interval `(n, n+(1)/(2))`

B

a unique point in the interval `(n+(1)/(2),n+1)`

C

a unique point in the interval `(n,n+1)`

D

two points in the interval `(n,n+1)`

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