Write a program in python that calculates $3,$ and $5$ using the Babylonian$$s method. The Babylonian$$s method is described by the following algorithm:

x$0$S

xn$+1=1/2($xn $+$S$/$xn$)$

$$S $=$ limx$->\backslash$infty xn

where x$0$ is a guess to the $$S$,$ and n is the number of iterations.