If `z_n=cos(pi/((2n+1)(2n+3)))+isin(pi/((2n+1)(2n+3)))`, then `lim_(n->oo)(z_1.z_2.z_3....z_n)=`

If z_n=[cos (pi/2)^(n/2)+i sin (pi/2)^(n/2)] then z_1.z_2.z_3…….oo

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

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

If z_(r)=(cos(pi alpha))/(n^(2))+i(sin(r alpha))/(n^(2)), where r=1,2,3...,n, then lim_(n rarr oo)z_(1)z_(2)z_(3)...z_(n) is equal to

If z^(n) = cos"" (n pi)/(3) + isin"" (n pi)/(3), then z_(1), z_(2) …. Z_(6) is

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

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

if (2z-n)/(2z+n)=2i-1,n in N in N and IM(z)=10, then