  In the limit of an infinite number of colors, we derive an analytic
expression for the quark condensate in $QCD_{1+1}$ as a function of the quark
mass and the gauge coupling constant. For zero quark mass, a nonvanishing quark
condensate is obtained. Nevertheless, we prove that there is no phase
transition as a function of the quark mass. It is furthermore shown that the
expansion of $\langle 0 | \overline{\psi}\psi |0\rangle$ in the gauge coupling
has zero radius of convergence but that the perturbation series is Borel
summable with finite radius of convergence. The nonanalytic behavior $\langle 0
| \overline{\psi}\psi |0\rangle \stackrel{m_q\rightarrow0}{\sim} - N_C
\sqrt{G^2}$ can only be obtained by summing the perturbation series to infinite
order.
