If `Z_r=cos((2rpi)/5)+isin((2rpi)/5),r=0,1,2,3,4,...` then `z_1z_2z_3z_4z_5` is equal to

If z_(r)=cos.(2rpi)/(5)+isin.(2rpi)/(5) , r=0,1,2,3,4 , then z_(1)z_(2)z_(3)z_(4)z_(5) equals

If z_(k)=cos((kpi)/(10))+isin((kpi)/(10)) , then z_(1)z_(2)z_(3)z_(4) is equal to

If z_r=cos(pi/(3^r))+isin(pi/(3^r)),r=1,2,3, , prove that z_1z_2z_3 z_oo=idot

If z_r=cos(pi/(3_r))+isin(pi/(3_r)),r=1,2,3, , prove that z_1z_2z_3 z_oo=idot

If z_r=cos(pi/(3^r))+isin(pi/(3^r)),r=1,2,3, , prove that z_1z_2z_3 .... z_oo=i

If z_r=cos(pi/(3_r))+isin(pi/(3_r)),r=1,2,3, , prove that z_1z_2z_3 z_oo=idot

If z_k=cos((kpi)/(10))+isin((kpi)/(10)) , then z_1z_2z_3z_4 is equal to

If Z_r =cos ((pi)/(2^r))+isin((pi)/(2^r)) then Z_(1).Z_(2).Z_(3)"…….." upto oo equals

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