Properties of Equivalent Infinitesimal and It's Application to Limit Operation
Haiyan Zhang · Journal of Hebei North University · 2010
The calculation for finding limits can be simplified with equivalence infinitesimal replacement theorem.How to use it to find limits for the limiting equations with multiply-divide factor is only mentioned in teaching materials.This paper mainly discusses how to use the equivalence infinitesimal replacement theorem to find limits for the limiting equations with plus-minus factor,complex structure,power exponent structure and common structures0/0,∞/∞,1∞,00∞0.Finally,some relevant substitution theorems of equivalent infinitesimal and application examples are given.