Lt(ntooo)sum(r=0)^(n-1)(n)/(n^(2)+r^(2))...

`Lt_(ntooo)sum_(r=0)^(n-1)(n)/(n^(2)+r^(2))=`

A

1

B

`pi`

C

`pi//2`

D

`pi//4`

Text Solution

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Lt_(ntooo)sum_(r=0)^(n-1)(1)/(n+r)=

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Knowledge Check

{:(" " Lt),(n rarroo):} sum_(r=1)^(n)(r)/(n^(2)+r^(2))=

A

log 2

B

log 4

C

`log sqrt(2)`

D

`log sqrt(6)`

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DIPTI PUBLICATION ( AP EAMET)-DEFINITE INTEGRATION-EXERCISE 1D

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Lt(ntooo)([1+4+9+......+n^(2)])/(n^(3))
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