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If zr = cos rα/n^2 + i sin rα/n^2 , where r = 1, 2, 3, ........n then lim(n→∞) z1 z2 .....zn is equal to

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If zr = cos rα/n2 + i sin rα/n2 , where r = 1, 2, 3, ........n then lim(n→∞) z1 z2 .....zn is equal to

(a) cos α + i sin α

(b) cos (α/2) - i sin(α/2)

(c) eiα/2

(d) 3√eiα 

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Correct Option (c) eiα/2

Explanation:

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