Using Python: Solve following problem Package Newton\'s method for approximating

Question

Using Python: Solve following problem
Package Newton's method for approximating square roots in a function named newton. This function expects the input number as an argument and returns the estimate of its square root. The script should also include a main function that allows the user to compute square roots of inputs until she presses the enter/return key.

Using Python: Solve following problem
Package Newton's method for approximating square roots in a function named newton. This function expects the input number as an argument and returns the estimate of its square root. The script should also include a main function that allows the user to compute square roots of inputs until she presses the enter/return key.


Package Newton's method for approximating square roots in a function named newton. This function expects the input number as an argument and returns the estimate of its square root. The script should also include a main function that allows the user to compute square roots of inputs until she presses the enter/return key.

Explanation / Answer

Answer. Script is written as : def newton_approx(x): """ Newton's method to get the square root of x using successive approximations """ tolerance = 0.000001 estimate = 1.0 while True: estimate = (estimate + x / estimate) / 2 difference = abs(x - estimate ** 2) if difference

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