Restructure Newton$$s method $($Case Study $3-2)$ by decomposing it into three cooperating functions $($including the original newton method.$).$ The task of testing for the limit is assigned to a function named limitReached$,$ whereas the task of computing a new approximation is assigned to a function named improveEstimate. Each function, in the file named newton.py$,$ expects the relevant arguments and returns an appropriate value. $($LO: $6\mathrm{.}2)$

Required methods to implement for this exercise:

newton$($x$)$: Returns the square root of x

improveEstimate$($x$,$ estimate$)$: Returns the new estimate by using the formula $($estimate $+$ x $/$ estimate$)/2$

limitReached$($x$,$ estimate$)$: Returns True if the differences is less than or equal to the global TOLERANCE variable, else False