some solutions for MIT Press's "structure and interpretation of computer programs", I guess
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(define tolerance 0.00001)
(define (fixed-point f first-guess)
(define (close-enough? v1 v2)
(< (abs (- v1 v2))
tolerance))
(define (try guess)
(let ((next (f guess)))
(if (close-enough? guess next)
next
(try next))))
(try first-guess))
;; close enough
(display (fixed-point (lambda (x) (+ 1 (/ 1 x))) 1.0))