一个不等式的探讨

Some Thoughts about an Inequality

二项式级数在收敛区间端点的收敛性,是一个较困难的问题.该文主要根据不等式12·34…2n-12n≤13n+1推广出两个初等不等式,然后借助这两个初等不等式,解决一些二项式级数和超越几何级数在收敛区间端点收敛性的证明.

The contraction of the binomial series at the end points of the contracting area is a difficuit problem. Based on the inequality of 12·34 … 2n-12n≤13n+1,the writer has deduced two primary inequality, through which to prove the contraction of some binomial series and what is beyond the geometric progression at the end points of the contracting area.