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If zr=cos(pialpha)/(n^2)+isin(ralpha)/(n...

If `z_r=cos(pialpha)/(n^2)+isin(ralpha)/(n^2),` where `r=1,2,3....,n, then lim_(n->oo) z_1 z_2 z_3...z_n` is equal to

A

`cos alpha+i sin alpha`

B

`sin(alpha)/(2)+i cos (alpha)/(2)`

C

`e^(i alpha//2)`

D

`sqrt(e^(i alpha))`

Text Solution

Verified by Experts

The correct Answer is:
C
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