练习1.8

求立方根的牛顿法

(define (sqrt-iter guess x)
  (if (good-enough? guess  x)
      guess
      (sqrt-iter (improve guess x)
                 x)))

(define (improve guess x)
  (/ (+ (/ x (* guess guess))(* 2 guess)) 3))

(define (good-enough? guess x)
  (< (abs (- (improve guess x) guess))
     .001))

(define (abs x)
  (if (> x 0)
      x
      (- x)))

(define (square x)
  (* x x))

(define (sqrt x)
  (sqrt-iter 1.0 x))


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1.8