A) \[f(x)=\log x\]
B) \[f(x)\]is bounded
C) \[f\left( \frac{1}{2} \right)\to 0\]as\[x\to 0\]
D) \[x\,\,f(x)\to 1\]as\[x\to 0\]
Correct Answer: A
Solution :
Let\[f(x)=\log (x),\,\,x>0\] \[\therefore \]It is continuous for every positive value of\[x\]. \[\therefore \] \[f\left( \frac{x}{y} \right)=\log \left( \frac{x}{y} \right)=\log (x)-\log (y)\] \[=f(x)-f(y)\] \[\therefore \]Option is correct.You need to login to perform this action.
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