1.

The value of \[p\] for which the function \[f(x)=\left\{ \begin{align} & \frac{{{({{4}^{x}}-1)}^{3}}}{\sin \frac{x}{p}\log \left[ 1+\frac{{{x}^{2}}}{3} \right]},\,x\ne 0 \\  & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,12{{(\log 4)}^{3}},\,\,x=0 \\ \end{align} \right.\]may be continuous at \[x=0\], is[Orissa JEE 2004]

A. 1
B. 2
C. 3
D. None of these
Answer» E.


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