1)  infinitely large quantity

1.
Some examples are given in this note to show that theinfinite product and infinite sum of the infinitely large quantity may be not infinitely large quantity.

2.
This paper studies the relationship between infinitely large quantity and infinitely small quantity,the nature of infinitely large quantity and the equivalence of infinitely large quantity.

3.
In this paper,the formal unitarity of the definitions of the limit of a univariate function and infinitely large quantity is given and the law of development of 24 different definitions is presented.

2)  infinity [英][ɪn'fɪnəti]  [美][ɪn'fɪnətɪ]

1.
The comparison of infinity s order and its application to the infinite integrals;

2.
This paper studies the concept of infinitesimal and infinity,and discusses the convergence of sequence,function and series with the estimation of the orders.

3)  infinity [英][ɪn'fɪnəti]  [美][ɪn'fɪnətɪ]

4)  infinity [英][ɪn'fɪnəti]  [美][ɪn'fɪnətɪ]

5)  order of infinitesimals (infinity)

6)  compare of infinite

 无穷大量infinitely large quantity    当自变量x无限接近x0(或｜x｜无限增大)时，函数值｜f(x)｜无限增大，即f(x)＝∞(或f(x)＝∞)，则称f(x)为x→x0(或x→∞)时的无穷大量  。例如f(x)＝是当x→1时的无穷大量，f(n)＝n2是当n→∞时的无穷大量。无穷大量的倒数是无穷小量。应该特别注意的是，无论多么大的数都不是无穷大量。