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Let f(x)=lim(n->oo)((n^n(x+n)(x+n/2).......

Let `f(x)=lim_(n->oo)((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)` foe all `x>0`. Then

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))`

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The correct Answer is:
B,C
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MOTION-DEFINITE INTEGRATION -EXERCISE -4 LEVEL-II
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