माना कि सभी `x gt 0` के लिए है `f(x) = {:(lim),(n rarroo):}((n^(n)(x+n)(x+n/2)....(x+n/n))/(n!(x^2+n^2)(x^2+n^2/4)...(x^2+n^2/n^2)))^(x/n)` है | तब

Options

A. `f((1)/(2))ge f(1)`
B. `f((1)/(3))le f((2)/(3))`
C. `f'(2)le 0`
D. `(f'(3))/(f(3))ge (f'(2))/(f(2))`

Answer

B, C