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Let f(x)={{:(x^(p)/((sinx)^(q))" , if "...

Let `f(x)={{:(x^(p)/((sinx)^(q))" , if "0ltxle(x)/(2)),(" 0 , if x = 0"):}` `(p,q,inP)`. Then Lagrange's mean value theorem is applicable to f(x) in closed interval [0, x]

A

for all p, q

B

only when `pgtq`

C

only when `pltq`

D

for no value of p, q

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