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.