Abstract: This paper introduces the concept of the order of infinitely large magnitudes, discusses the order of power, exponential and logarithmic functions and proves the rules of operation and the substitution theorem of the infinitely large magnitudes. Finally, this paper gives a lot of examples for finding the limit of ∞/∞ type by means of the order of infinitely large magnitudes.

摘要： 本文,引入了无穷大阶的概念,讨论了幂函数、指数函数与对数函数的无穷大的阶,证明了无穷大的运算法则和替换定理。最后,给出了运用无穷大的阶求∞/∞型极限的一些实例。