some solutions for MIT Press's "structure and interpretation of computer programs", I guess
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(define (cont-frac n d k)
(define (loop res t)
(if (eq? t 0)
(loop (/ (n t)
(+ (d t) res))
(- t 1))))
(loop 0 k))
(define (cont-frac-rec n d k)
(if (eq? k 0)
(/ (n 1) (+ (d 1) (cont-frac-rec n d (- k 1))))))