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For positive integers k=1,2,3,....n,, let `S_k` denotes the area of `triangleAOB_k` such that `angleAOB_k=(kpi)/(2n)`, OA=1 and `OB_k=k` The value of the `lim_(n->oo)1/n^2sum_(k-1)^nS_k` is

A

`(2)/(pi^(2))`

B

`(4)//(pi^(2))`

C

`(8)/(pi^(2))`

D

`(1)/(2pi^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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VK JAISWAL-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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