Can someone get me going in the right direction. For the given function: y[n] = (1/2)(y[n-1] + x[n]/y[n-1]) where x[n] = a * u[n] (u[n] is the unit step function) and y[-1] = 1 prove that y[n] as n -> infinity is equal to sqrt(a) ----------- I know that this is the Newton-Raphson Method, but how do I go about analytically proving the above. I've tried writing out a few terms and seeing if there is a pattern, but couldn't find anything. The inside looks like a accumulator and tried to do a subsitution, but that didn't work. Any help would be appreciated.