The application Taylor expansion in the problem of limits

Abstract

In the article, the author presented the Taylor expansion formula, Taylor expansion of the composite function, the properties of small ifninity. Based on the above theories, readers can have a theoretical basis to solve a relatively wide class of limit calculation exrcises from simple to complex, overcoming the limitations of the limit calculation method, such as the method using Lopital’s rule, the method using the equivalence function, infinity.