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If f(x)=((2^(x)-1)^(3))/(sin((x)/(p))log...

If `f(x)=((2^(x)-1)^(3))/(sin((x)/(p))log(1+(x^(2))/(3)))` is continuous at `x=0` and `f(0)=6(log2)^(3)` then `p=`
(A) 1
(B) 2
(C) 3
(D) 4

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