If \[f(x)=\underset{n\,\to \,\infty }{\mathop{\lim }}\,n({{x}^{1/n}}-1),\] then for \[x>0,\,\,y>0,\]\[f(xy)\] is equal to

If \[f(x)=\underset{n\,\to \,\infty }{\mathop{\lim }}\,n({{x}^{1/n}}-1

1.	If \[f(x)=\underset{n\,\to \,\infty }{\mathop{\lim }}\,n({{x}^{1/n}}-1),\] then for \[x>0,\,\,y>0,\]\[f(xy)\] is equal to
A.	\[f(x)f(y)\]
B.	\[f(x)+f(y)\]
C.	\[f(x)-f(y)\]
D.	None of these
Answer» C. \[f(x)-f(y)\]

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If \[f(x)=\underset{n\,\to \,\infty }{\mathop{\lim }}\,n({{x}^{1/n}}-1),\] then for \[x>0,\,\,y>0,\]\[f(xy)\] is equal to

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