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Question

Mathematics Question on complex numbers

If Xn = cos π2n\frac{ π}{2^n} + i sinπ2n\frac{ π}{2^n} , then

n=1xn=\prod_{n=1}^{\infty} x_n =

A

0

B

1

C

-1

D

i

Answer

-1

Explanation

Solution

The correct option is: (C) -1