1. The problem statement, all variables and given/known data Show that the following sequence converges: xn= (sin(1)/2) + (sin(2)/2^2) + (sin(3)/2^3) +...+ (sin(n)/2^n) 2. Relevant equations 3. The attempt at a solution To show that it converges, i want to show that it is a cauchy sequence (since all cauchy sequences converge). I know that xn is cauchy if abs(xn-xm)< E for all E>0. and the above sequence can be written as: [tex]\sum(sink/2^k[/tex] But i dont know how to proceed?? Any help would be very much appreciated.