Give the first 5 values found using Newton’s Method with the given function and initial value. $$f(x) = x^3 - 3x^2 + x + 3, \quad x_0 = 1$$

• $x_1 =$
• $x_2 =$
• $x_3 =$
• $x_4 =$
• $x_5 =$

Why does Newton’s Method fail in finding the root? The function has no roots
The derivative becomes 0
The approximations will not converge
More iterations are needed before the root can be found