Instructions newton.py + 1 # Modify the code below Restructure Newton's method (Case Study: Approximating 3 Program: newton.py Square Roots) by decomposing it into three cooperating 4 Author: Ken functions: newton , limitReached , and improveEstimate. 5 Compute the square root of a number. 6 1. The input is a number. 7 2. The outputs are the program's estimate of the square using Newton's method of successive approximations, a The newton function can use either the recursive strategy of Project 2 or the iterative strategy of the Approximating Square Python's own estimate using math.sqrt. Roots Case Study. The task of testing for the limit is assigned to a function named limitReached , whereas the task of computing 11 a new approximation is assigned to a function named 12 import math improveEstimate. Each function expects the relevant |13 14 # Receive the input number from the user |15 x = float(input("Enter a positive number: ")) arguments and returns an appropriate value. 16 An example of the program input and output is shown below: 17 # Initialize the tolerance and estimate 18 tolerance = 0.000001

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