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def newton(number): tolerance = 0.000001 estimate = 1.0 while True: estimate = improveEstimate(number, estimate) if limitReached(number, estimate, tolerance): break return estimate def improveEstimate(number, estimate): return

def newton(number): tolerance = 0.000001 estimate = 1.0 while True: estimate = improveEstimate(number, estimate) if limitReached(number, estimate, tolerance): break return estimate def improveEstimate(number, estimate): return (estimate + number/estimate) / 2 def limitReached(number, estimate, tolerance): difference = abs(number - estimate ** 2) return difference <= tolerance while True: number = (input(Enter a number: )) if not number.isnumeric(): break print (newton(float (number)))

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