Write a while loop to continually update this approximation (using the same formula from problem 1.1) until the relative approximate error, E = |x_i + 1 - x_i/x_i| is less than .00001. Use this approximation to calculate the cubic root of 100. Print out the final value, the final error, and the number of iterations required. Write a while loop to continually update this approximation (using the same formula from problem 1.1) until the relative approximate error, E = |x_i + 1 - x_i/x_i| is less than .00001. Use this approximation to calculate the cubic root of 100. Print out the final value, the final error, and the number of iterations required