Advances in International Applied Mathematics

Function limit calculation is an important problem in advanced mathematics teaching and the basis of function calculus research. Understanding and flexibly applying various limit calculation methods is crucial to learning advanced mathematics. Due to the diversity of limit types and solution methods, many students cannot master the applicable conditions and usage skills of each method well, resulting in a lack of knowledge when doing questions. How to help students master function limits, especially the solution methods of indeterminate limits, is the key and difficulty in advanced mathematics teaching. In response to this problem, since most indeterminate limit problems can be solved by converting them into 0/0 type, this paper takes a 0/0 type indeterminate limit problem as an example, summarizes and analyzes in detail several common methods for solving function limits and their applicable conditions and key steps, so as to help students master limit calculation methods and cultivate students divergent thinking ability.

Function limit; Solution method; Higher mathematics