A Generalization of Euler’s Limit

摘要

© 2023 The Mathematical Association of America.Summary: The famous Euler’s limit is (Formula presented.) In this note, we observe yet another generalization of Euler’s limit as follows: Let (Formula presented.) and (Formula presented.) be two sequence of real numbers such that an > 1 and (Formula presented.) and bn is satisfying the asymptotic formula (Formula presented.), where k > 0, then (Formula presented.).