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#lang racket
(require "../../shared/chapter1.rkt")
(require sicp)
(define (sqrt x)
((iterative-improve
(close-enough? 0.0001)
(lambda (g)
(/ (+ g (/ x g)) 2)))
1.0))
(sqrt 2)
(define (fixed-point f first-guess)
((iterative-improve
(close-enough? 0.0001)
f)
first-guess))
(define (root-finder x n damp-fold)
(fixed-point
(average-damp
(lambda (y) (/ x (power y (- n 1))))
damp-fold)
1.0))
(root-finder 2 64 6)
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