Given the polynomial, f(x) x 3 45x 2 513x 1729 In Python, define a function that, given an initial condition, x 0 , and a number of iterations, implements Newton's method for successively better approximations of a root x n 1 x n f (x n ) f ' (x n )

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Question: Given the polynomial, f(x) = x 3 - 45x 2 + 513x - 1729. In Python, define a function that, given an initial condition, x

Given the polynomial, f(x) = x³ - 45x² + 513x - 1729. In Python, define a function that, given an initial condition, x₀, and a number of iterations, implements Newton's method for successively better approximations of a root.

x_n+1= x_n- f (x_n) / f ' (x_n)

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