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If omega is the cube root of unity of th...

If `omega` is the cube root of unity of the equation `z^(3)=1`, then the value of : `(1)/(2)+(3)/(8)+(9)/(32)+(27)/(128)+.....`to `oo (omega)/(2)+omega^(2)` is

A

`-1`

B

`1`

C

`-i`

D

`i`

Text Solution

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The correct Answer is:
A
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