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If z(k)=cos.(pi)/(2^(k))+isin.(pi)/(2^(k...

If `z_(k)=cos.(pi)/(2^(k))+isin.(pi)/(2^(k))`, `k=1,2............`, then the value of `z_(1)z_(2)`...............to `oo` is

A

`0`

B

`1`

C

`-1`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
C
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