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 (tan-cf x k)
(cont-frac (lambda (i)
(if (eq? i 1)
(- (* x x))))
(lambda (i)
(- (* i 2) 1))