On popularization of the important limit formula-lim[1+1/x]~x=e (x→∞)
Hong Tao Jiang · Journal of Shenyang Normal University · 2003
limx→∞1+1x\+x=e is one of the important limit formulas in college mathematics courses.For the order form of important limit formula:limn→∞1+1n\+n=e,in common college mathematics textbooks,binomia is generally used to prove,so it is not necessary to be proved here.In this paper we mainly make such a formula-limx→∞1+1x\+x=e gradually populized and extended in every style and deduce several forms of them which are demonstrated one by one.and make such a formula give full play to their deserved function in the course of calculating function limit and deducing deriation formula of basical primary function and the other respects.