Relations between Limits and Three Convergences

Jian Yao · 2003

The Souls of calculus consist in the theories of limits.While the basic of limits definition lies on the distance of point to point.Because of the differences of definite methods and significations in distance(or is equal to distance),which in the diverse spaces,that leads the various sorts of Limits.That is to say,the convergences of dimension space,the strong convergences,the weak convergences.This article is mainly about the relations of distance,limits,calculus.By these,it will draw a conclusion of the relations of limits,strong and weak convergence eventually.

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