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

If `z_r =cos (ralpha)/(n^2)+isin (ralpha)/(n^2)` ​ , where r=1,2,3,....n, then `lim_(n→∞)(z_1.z_2.....z_n)` is equal to

A

`e^(ialpha)`

B

`e^(-ialpha//2)`

C

`e^(ialpha//2)`

D

`root3(e^(ialpha))`

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