What is the capacity of the family of affine functions (lines) in bounded (i.e. any compact subset of) ?

Remind that, for classification, the capacity of F is defined by Vapnik & Chervonenkis as the largest n such that there exist a set of examples Dn such that one can always find an f ∈ F which gives the correct answer for all examples in Dn, for any possible labeling.