If `x_r=cos[pi/2^r]+iotasin[pi/2^r]` then,prove that `x_1.x_2.x_3....oo= -1`

Similar Questions

Explore conceptually related problems

If x_n =cos pi/(2^n) +isin pi/(2^n) , prove that x_1x_2x_3 x_oo=-1.

If x_n=cos(pi/(2^n))+isin(pi/(2^n)) , prove that x_1x_2x_3........... x_oo=-1.

If x_r = cos(pi/3^r)+isin (pi/3^r) : prove that x_1x_2x_3 ....upto infinity=i

If x_(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2^(r)) , then x_(1)x_(2)x_(3)....oo=

If x_n =cos ((pi)/(2^(n)))+isin((pi)/(2^(n))) Prove that x_1 x_2…..x_oo=-1

If x_(r)=cos((pi)/(2^(r)))+i sin((pi)/(2^(r))) then x_(1),x_(2),x_(3),....oo

If x_r=cos(pi/2^r)+isin(pi/2^r) then x_1x_2x_3.......infty =

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 x_(n)=cos(pi)/(2^(n))+i sin(pi)/(2^(n)), prove that x_(1)x_(2)x_(3)x_(oo)=-1

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