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

The value of p for which the function\[f(x)=\left\{ \begin{matrix} \f

1.	The value of p for which the function\[f(x)=\left\{ \begin{matrix} \frac{{{({{4}^{x}}-1)}^{3}}}{\sin \frac{x}{p}\log \left[ 1+\frac{{{x}^{2}}}{3} \right]},x\ne 0 \\ 12{{(log\,4)}^{3}},x=0 \\ \end{matrix} \right.\]may be continuous at \[x=0\], is
A.	1
B.	2
C.	3
D.	None of these
Answer» E.

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

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