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Let f(x) = [ n + p sin x], x in (0,pi), ...

Let f(x) = [ n + p sin x], `x in (0,pi), n in Z`, p a prime number and [x] = the greatest integer less than or equal to x. The number of points at which f(x) is not not differentiable is :

A

p

B

1

C

2p+1

D

2p-1

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