IF xr =cos​ pi /2r+ i sin pi/2r,then value of x1.x.2x3...to infinity isequal to
1.1
2.0
3. -1
4.2

given: xr=cosπ2r+i.sinπ2r=ei.π2rthereforex1.x2.x3............=ei.π2.ei.π22.ei.π23...............upto infinity=ei.π.12+122+123+..........upto infinity=ei.π.1/21-12=ei.π=cosπ+isinπ=-1
thus option (3) is correct.

hope this helps you

 

  • 16
What are you looking for?