1.

Find the value of p for which the fucntionf(x) = ((4^(x) -1)^(3))/(sin ((x)/(p)) log_(e)(1 + (x^(2))/(3))), x ne 0 " and " f(0) = 12 (log4)^(3) , is continuous at x = 0 .

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Answer :From (1) & (2) , p = 4


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