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If f is a positive function such that `f (x+T) =f (x) (T gt 0), AA x in R,` then `lim _(xtooo)n ((f (x+T)+2 f (x+2T)+.....+ nf (x+n T))/(f (x+T) + 4f (x+4T)+.....+ n ^(2)f (x+n ^(2) T)))=`

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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