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If infty(a(1)+ib(1))(a(2)+ib(2))………………(a...

If `infty(a_(1)+ib_(1))(a_(2)+ib_(2))………………(a_(n)+ib_(n))=A+iB`, then `sum_(i=1)^(n) tan^(-1)(b_(i)/a_(i))` is equal to

A

`B//A`

B

`tan. (B//A)`

C

`tan^(-1). (B)/(A)`

D

`tan^(-1). (A)/(B)`

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The correct Answer is:
C
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