略谈integral from n=a to +∞ f(x)dx收敛与x→+∞ lim f(x)=0的关系

Elementary introduction of the relationship between the convergence of from n=a to +∞f(x)and x→∞+limf(x)=0

本文integral from n=a to +∞(f(x)dx)给出了在收敛的前提下,x→∞+limf(x)=0的若干充分条件。

Basing on the convergence of integral from n=a to +∞f(x)dx,this paper discusses some sufficient conditions about x→∞+limf(x)=0