python

6.4

Restructure Newton's method (Case Study: Approximating Square Roots) by decomposing it into three cooperating functions.

The newton function can use either the recursive strategy of Project 2 or the iterative strategy of the Approximating Square Roots Case Study. 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 expects the relevant arguments and returns an appropriate value.

An example of the program input and output is shown below:

Enter a positive number or enter/return to quit: 2 The program's estimate is 1.4142135623746899 Python's estimate is Enter a positive number or enter/return to quit 1.4142135623730951