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

`lim_(n to oo)[(n+1)/(n^(2)+1^(2))+(n+2)/(n^(2)+2^(2))+....+(1)/(n)]`

A

`(1)/(2)log 2`

B

`-(pi)/(4)+(1)/(2)log 2`

C

`pi + (1)/(2) log 2`

D

`(pi)/(4)+(1)/(2) log 2`

Text Solution

Verified by Experts

The correct Answer is:
D
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