A) \[f(x)f(y)\]
B) \[f(x)+f(y)\]
C) \[f(x)-f(y)\]
D) None of these
Correct Answer: B
Solution :
[b] \[f(x)=\underset{n\to \infty }{\mathop{\lim }}\,n({{x}^{1/n}}-1)=\underset{n\to \infty }{\mathop{\lim }}\,\frac{{{x}^{1/n}}-1}{1/n}\] \[=\underset{m\to 0}{\mathop{\lim }}\,\frac{{{x}^{m}}-1}{m}=Inx\,\left( where\,\,\frac{1}{n}\,\,is\text{ }replaced\text{ }by\text{ }m \right)\] or \[f(xy)=ln(xy)=ln\,x+ln\,y=f(x)+f(y)\]
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