  In the limit of an infinite number of colors, an analytic expression for the
quark condensate in $QCD_{1+1}$ is derived as a function of the quark mass and
the gauge coupling constant. For zero quark mass, a nonvanishing quark
condensate is obtained. Nevertheless, it is shown 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. The sum-rule calculation is based on masses and coupling constants
calculated from 't Hooft's solution to $QCD_{1+1}$ which employs LF
quantization and is thus based on a trivial vacuum. Nevertheless the chiral
condensate remains nonvanishing in the chiral limit which is yet another
example that seemingly trivial LF vacua are {\it not} in conflict with QCD
sum-rule results.
