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If z(r)=cos((ralpha)/(n^(2)))+isin((ralp...

If `z_(r)=cos((ralpha)/(n^(2)))+isin((ralpha)/(n^(2))),"where"r=1,2,3,...,nandi=sqrt(-1),"then"lim_(n to oo) z_(1)z_(2)z_(3)...z_(n)` is equal to

A

`e^(ialpha)`

B

`e^(-ialpha//2)`

C

`e^(ialpha//2)`

D

`root3(e^(ialpha))`

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