Q 1466223175.     If `x_r=cos(pi//3^r)-i sin(pi //3^r)`, (where `i=sqrt(-1)` ), then value of `x_1 · x_2 ..... oo`, is

A

`1`

B

`-1`

C

`-i`

D

`i`

HINT

`:. x_1 *x_2 *x_3..... oo=cos(pi/(3^1)+pi/(3^2)+pi/(3^3)+.... oo)-i sin (pi/(3^1)+pi/(3^2)+pi/(3^3)+.... oo)`
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