[" If "z_(r)=cos(ra)/(n^(2))+i sin(r alpha)/(n^(2))," where "r=1,2],[3,...,n," then "lim_(n rarr oo)z_(1)z_(2)cdots 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_(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 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 (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_(n)=cos((pi)/((2n+1)(2n+3)))+i sin((pi)/((2n+1)(2n+3))) ,then lim_(n rarr oo)(z_(1)*z_(2)*z_(3)...z_(n))=

lim_(n rarr oo)sum_(r=2n+1)^(3n)(n)/(r^(2)-n^(2)) is equal to

The value of lim_(n rarr oo)(1)/(n)sum_(r=1)^(n)((r)/(n+r)) is equal to