Mistakes in Finding Limits with Equivalence Infinitesimal Replacement and Some Supplement
Yin Jun-fang · Journal of Yichun College · 2011
Equivalence infinitesimal replacement is one of the most common methods used to find limits.The calculation for finding limits can be simplified with equivalence infinitesimal replacement theorem.This paper analyses the common mistakes in finding limits by equivalence infinitesimal replacement and discusses the condition for the limiting equations in which the items in sum or difference can be replaced by equivalence infinitesimal;at the same time,some application examples are given.