If tantheta=sqrt(3/2) , then the sum of ...

If `tantheta=sqrt(3/2)` , then the sum of the infinite series `1+2(1-costheta)+3(1-costheta)^2 + 4(1-costheta)^3+.....oo` is

A

`(2)/(3)`

B

`(sqrt3)/(4)`

C

`(5)/(2 sqrt2)`

D

`(5)/(2)`

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The correct Answer is:

D

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