# Analyzing Roots

Below is a Python script that approximates the positive square root of positive integers. The algorithm makes guesses by continually averaging the upper and lower bound of a range of numbers that dynamically adjusts.

  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 ## Number we seek the sqrt of n = input("Find sqrt of: ") ## input() gets input from the console ## Set the bounds upperBound = n lowerBound = 0 ## Acceptable variation in result delta = 0.00001 ## Current guess at sqrt of n guess = (upperBound + lowerBound) / 2.0 ## Checks if guess*guess is within +/- delta of n while guess*guess < n - delta or guess*guess > n + delta: ## Resets bounds according to outcome if guess**2 < n - delta: lowerBound = guess else: upperBound = guess guess = (upperBound + lowerBound) / 2.0 test = int(guess + 0.5) ## int() casts other number types into integers if test**2 == n: guess = test print guess 

Analyze the script and determine the error that exists in it from the choices below.

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