Round-offs in floating-point arithmetic

A friend of mine recently proposed the following problem on twitter: Given f y z =108 – (815 – 1500/z)/y, x0 = 4, x1 = 4.25 and xN+1 = f xN xN-1 then what is x80? Note: This might not be as easy as it looks — Mårten Rånge (@marten_range) October 19, 2013 I didn’t…