The chiral Lagrangian for Goldstone-boson scattering is a power-series expansion in numbers of derivatives. Each successive term is suppressed by powers of a scale, Lambdasub chi, which must be less than of order 4piital f/ radicalital N where ital f is the Goldstone-boson decay constant and ital N is the number of flavors. The chiral expansion therefore breaks down at or below 4piital f/ radicalital N . Because of crossing symmetry, some isospin'' channels will deviate from their low-energy behavior well before they approach the scale at which their low-energy amplitudes would violate unitarity. The breakdown of the chiral expansion is associated with the appearance of physical states other than Goldstone bosons. We speculate that, since the bound on Lambdasub chi falls as ital N increases, the masses of resonances will decrease relative to ital fsub pi at least as fast as 1/ radicalital N and argue that the estimates of oblique'' corrections from technicolor obtained by scaling from QCD are untrustworthy.