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论文类型：期刊论文

发表时间：2018-06-01

发表刊物：RESULTS IN MATHEMATICS

收录刊物：SCIE

卷号：73

期号：2

ISSN号：1422-6383

关键字：Continued fraction; asymptotic formula; constant e; double inequalities; Keller's limit

摘要：A new asymptotic formula for the constant e is proposed by the continued fraction approximation. As a consequence, we deduce inequalities for the sequence (1 + 1/n)(n), and show an application of the inequalities to the proof of Keller's limit. Numerical computations and comparisons are conducted to illustrate the superiority of our new inequalities.