  A new technique named Generalized Borel Transform (GBT) is applied to the
generating functional of the $\Phi^{4}$ theory in zero dimensions with
degenerate minima. The analytical solution of this function, obtained in the
non perturbative regime, is compared with those estimations predicted by large
order perturbation theory. It was established that the GBT is a very efficient
technique to capture these contributions. On the other hand, renormalons
associated to the resummation of those perturbative series were not found to be
the genuine source of the non perturbative contributions of this model.
