Chapter 1, Building Abstractions with Procedures

Section - Formulating Abstractions with Higher-Order Procedures

Exercise 1.35


From sec-1.2.2, we know that:


Dividing both sides by , we get: .

This is the same equation given in the problem. Thus golden ration is indeed the fixed point of the transformation .

1
2
> (fixed-point (lambda (x) (+ 1 (/ 1 x))) 1.0)
1.6180327868852458