Let \[f(x)\]be defined for all \[x>0\]and be continuous. Let \[f(x)\]s – McqOptions

MCQOPTIONS

1.	Let \[f(x)\]be defined for all \[x>0\]and be continuous. Let \[f(x)\]satisfy \[f\left( \frac{x}{y} \right)=f(x)-f(y)\]for all x, y and \[f(e)=1,\]then [IIT 1995]
A.	\[f(x)=\ln x\]
B.	\[f(x)\]is bounded
C.	\[f\left( \frac{1}{x} \right)\to 0\]as\[x\to 0\]
D.	\[x\,f(x)\to 1\]as \[x\to 0\]
Answer» B. \[f(x)\]is bounded

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