Evaluation of Limits Involving Trigonometric Functions by L’ Hospital Rule

Abstract

Limit is the basic idea of calculus and it is the theoretical basis of a series of important concepts such as derivatives, continuity, definite integral, etc., In addition, it is a tool for solving many problems, thus correctly mastering the calculation methods and skills of the limit is of great significance to learn more advanced mathematics well. Through induction and conclusion, this article mainly introduces the application of several methods of solving the limit in light of L'Hopital's rule, as well as gives the analysis of example problems for each method. For this purpose, it is expected that readers can get some inspiration for solving problems from them, so that they can solve problems more clearly. Furthermore, a brief introduction is made to the main content of the L'Hospital's rule in advanced mathematics and an analysis is given of the misunderstandings in the teaching and application of the L'Hospital's rule, and a detailed description of many specific application of the L'Hospital's rule in the analysis of limit problems.