f(x) = lim (n→ infinity) n( x1/n -1) , x>0 then f(xy) is a. f(x)f(y) b. f(x)+f(y) c. y f(x) + x f(y) d. N.O.T
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2 Answers
1ans is f(x)+f(y)
the limit is f(x) = \lim_{n\rightarrow \infty}\frac{x^{1/n}-1}{\frac{1}{n}} = \lim_{t\rightarrow 0}\frac{x^t-1}{t} = \lim_{t\rightarrow 0}x^tlogx = logx
