s = r + 1/r
= q + 1/q + 1/(q + 1/q)
= p + 1/p + 1/(p + 1/p) + 1/(p + 1/p + 1/(p + 1/p))
When p is positive, s > p because of all the positive terms added to p on the right side. Thus s cannot equal p.
When p is zero s is undefined and again cannot equal p.
When p is negative, the terms added to p are all negative so s < p, and again, s cannot equal p.
Since s = r + 1/r is what is asked to equal p, this can never occur.
Posted by Charlie
on 2008-04-12 14:26:33