  We consider a conservation law model of traffic flow, where the velocity of
each car depends on a weighted average of the traffic density $\rho$ ahead. The
averaging kernel is of exponential type: $w_\varepsilon(s)=\varepsilon^{-1}
e^{-s/\varepsilon}$. For any decreasing velocity function $v$, we prove that,
as $\varepsilon\to 0$, the limit of solutions to the nonlocal equation
coincides with the unique entropy-admissible solution to the scalar
conservation law $\rho_t + (\rho v(\rho))_x=0$.
