Exercise 1.8: (back)
Scheme:
(define (square x) (* x x))
(define (average x y)
(/ (+ x y) 2))
(define (good-enough? guess x)
(< (/ (abs (- (improve guess x) guess)) guess) 0.001))
(define (improve guess x)
(/
(+ (/ x (square guess)) (* 2 guess))
3))
(define (cbrt-iter guess x)
(if (good-enough? guess x)
guess
(cbrt-iter (improve guess x)
x)))
(define (my-cbrt x)
(cbrt-iter 1.0 x))