  We study the behavior of the Ozsvath-Szabo and Rasmussen knot concordance
invariants tau and s on K(m,n), the (m,n)-cable of a knot K where m and n are
relatively prime. We show that for every knot K and for any fixed positive
integer m, both of the invariants evaluated on K(m,n) differ from their value
on the torus knot T(m,n) by a fixed constant for all but finitely many n>0.
Combining this result together with Hedden's extensive work on the behavior of
tau on (m,mr+1)-cables yields bounds on the value of tau on any (m,n)-cable of
K. In addition, several of Hedden's obstructions for cables bounding complex
curves are extended.
