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lim(n to oo) (1)/(n) [ 1+ (n^2)/( n^2+ 1...

`lim_(n to oo) (1)/(n) [ 1+ (n^2)/( n^2+ 1^2) + (n^2)/( n^2+ 2^2) + …+ (n^2)/( n^(2) + (n-1)^(2) ) ]` is equal to

A

`pi/2`

B

`pi/3`

C

`pi/4`

D

`pi/6`

Text Solution

Verified by Experts

The correct Answer is:
C
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