Convergence of Infinite Integral and Limit of Infinite Distance
XU Wan-yin · Journal of Longdong University · 2006
This paper cites examples to indicate that there isn’t necessarily ∫+∞a f(x)dx as for the infinite integral of convergence lim x→+∞ f(x)=0. It discusses under what conditions there is certainly ∫+∞a f(x)dx as for the infinite integral of convergence lim x→+∞ f(x)=0, and meanwhile deals with the nature of the infinite integral of convergence ∫+∞a f(x)dx when lim x→+∞ f(x)=0.