Elena complains that the recursive newtonfunction in Project 2 includes an extra argument for the estimate. The functions users should not have to provide this value, which is always the same, when they call this function. Modify the definition of the function so that it uses a keyword argument with the appropriate default value, and call the function without a second argument to demonstrate that it solves this problem. 

The Project 2 code is below:

# Modify the code below

"""

File: newton.py

Project 6.1

Compute the square root of a number (uses function with loop).

1. The input is a number, or enter/return to halt the

input process.

2. The outputs are the program's estimate of the square root

using Newton's method of successive approximations, and

Python's own estimate using math.sqrt.

"""

import math

# Initialize the tolerance

TOLERANCE = 0.000001

def newton(x, estimate):

"""Returns the square root of x."""

# Compute the difference and test for the base case

difference = abs(x - estimate ** 2)

if difference <= TOLERANCE:

return estimate

else:

# Recurse after improving the estimate

return newton(x, (estimate + x / estimate) / 2)

def main():

"""Allows the user to obtain square roots."""

while True:

# Receive the input number from the user

x = input("Enter a positive number or enter/return to quit: ")

if x == "":

break

x = float(x)

# Output the result

print("The program's estimate is", newton(x, 1))

print("Python's estimate is ", math.sqrt(x))

if __name__ == "__main__":

main()

if __name__ == "__main__":

main()