Abstract
We investigate the large-order behavior of weak- and strong-coupling perturbation series for a $g{\ensuremath{\varphi}}^{4}$ theory in zero space-time dimensions. Both the unrenormalized and renormalized weak-coupling expansions are divergent but Borel summable. The unrenormalized strong-coupling expansion is convergent, but its renormalized form is divergent and not even Borel summable.
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