摘要
本文对文[1]中三个数列:a_n=(1+1/n)^(n+p)a_n=(1+t/n)^(n+1)及a_n=(1+1/n)~n(1+t/n)单调下降的充要条件推广至函数形式。证明了函数f(x)=(1+t/x)^(x+p)(p>0,x>max{0,-t})和φ(x)=(1+1/x)~x(1+t/x)(x>0)单调下降的充分必要条件。
In this paper, we prove the necessarg and sufficient conditions for the segelences and monotomice decrease and generatize it to the functioons and φ
关键词
数列
函数
单调下降
充要条件
幂级数
Seguence, function, decrease, necessary and sufficeent condition
