Abstract
This paper uses the mathematical software Maple to study four types of limit problems. The solutions of the four types of limits can be obtained mainly using complex function method. On the other hand, we propose some examples to demonstrate the calculations. The research method adopted in this study is to find solutions through manual calculations and verify the answers using Maple. This method can not only allow the discovery of calculation errors, but also help modify the original directions of thinking.
Highlights
The computer algebra system (CAS) has been widely employed in mathematical and scientific studies
The followings are the four types of limit problems discussed in this paper: cos5θ ⋅ sin(sr cos(θ + φ )) ⋅ cosh(sr sin(θ + φ ))
For the four types of limit problems discussed in this paper, we propose some examples and use Theorems 1 and 2 to obtain their solutions
Summary
The computer algebra system (CAS) has been widely employed in mathematical and scientific studies. Maple possesses significance among mathematical calculation systems and can be considered a leading tool in the CAS field. The computation results of Maple can be used to modify our previous thinking directions, thereby forming direct and constructive feedback that can aid in improving understanding of problems and cultivating research interests. In calculus and engineering mathematics, there are many ways to solve the limit problems, the discussion of limit problems can be referred to [5-7]. For the more difficult limit problems, the use of calculus approach is not necessarily easy to get the answer. This article uses the complex function method to solve the limit problems. Some examples are proposed, and we use Maple to calculate the approximation of these limits and their solutions to verify our answers
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