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If f is a positive function such that f(...

If `f` is a positive function such that `f(x+T)=f(x)(T>0), AA x in R,` then `lim_(n->oo)n((f(x+T)+2f(x+2T)+.......+nf(x+n T))/(f(x+T)+4f(x+4T)+.......+n^2f(x+n^2T)})=`

A

2

B

`2/3`

C

`3/2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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