The value of \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{({{4}^{x}}-1)}^{3}}}{\sin \frac{{{x}^{2}}}{4}\log (1+3x)},\] is

The value of \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{({{4}^{x}}-1

1.	The value of \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{({{4}^{x}}-1)}^{3}}}{\sin \frac{{{x}^{2}}}{4}\log (1+3x)},\] is
A.	\[\frac{4}{3}{{(in4)}^{2}}\]
B.	\[\frac{4}{3}{{(In4)}^{3}}\]
C.	\[\frac{3}{2}{{(In4)}^{2}}\]
D.	\[\frac{3}{2}{{(In4)}^{3}}\]
Answer» C. \[\frac{3}{2}{{(In4)}^{2}}\]

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The value of \[\underset{x\to 0}{\mathop{\lim }}\,\frac{{{({{4}^{x}}-1)}^{3}}}{\sin \frac{{{x}^{2}}}{4}\log (1+3x)},\] is

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