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If zr=cos(ralpha/n^2)+i"sin"(ralpha/n^2)...

If `z_r=cos(ralpha/n^2)+i"sin"(ralpha/n^2)`, where r=1,2,3,…n, then `lim_(nrarrinfty)z_1z_2...z_n` is equal to

A

`cos alpha+ i sin alpha`

B

`cos(alpha/2)-isin(alpha/2)`

C

`e^(ialpha//2)`

D

`rinftyt(3)(e^(ialpha))`

Text Solution

Verified by Experts

The correct Answer is:
C
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