The function \[f(x)=\frac{{{({{3}^{x}}-1)}^{2}}}{\sin x\cdot \ln \,(1+x)},x\ne 0\], is continuous at x=0. Then the value of f(0) is

The function \[f(x)=\frac{{{({{3}^{x}}-1)}^{2}}}{\sin x\cdot \ln \,(1+

1.	The function \[f(x)=\frac{{{({{3}^{x}}-1)}^{2}}}{\sin x\cdot \ln \,(1+x)},x\ne 0\], is continuous at x=0. Then the value of f(0) is
A.	\[2{{\log }_{e}}3\]
B.	\[{{(2{{\log }_{e}}3)}^{2}}\]
C.	\[{{\log }_{e}}6\]
D.	none of these
Answer» C. \[{{\log }_{e}}6\]

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The function \[f(x)=\frac{{{({{3}^{x}}-1)}^{2}}}{\sin x\cdot \ln \,(1+x)},x\ne 0\], is continuous at x=0. Then the value of f(0) is

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