Cube root
Newton's method for cube roots is based on the fact that if y is an approximation to the cube root of x, then a better approximation is given by the value
x/(y * y) + 2y
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3
Use this formula to implement a
cube-root
procedure analogous to the square-root procedure. In section 1.3.4 we will see how to implement Newton's method in general as an abstraction of these square-root and cube-root procedures.)