A method of summing nonalternating asymptotic series

A method is proposed for recovering a function from its nonalternating asymptotic expansion. The method can also be applied when only a restricted number of terms of the series and the asymptotic behavior-of the coefficients of higher orders are known. The method is illustrated by the asymptotic expansion of a simple integral which simulates a functional integral in a theory with degenerate vacuum and by an anharmonic oscillator with twofold degeneracy.