EIREducational Innovation Research3029-18443029-1852WHIOCE PUBLISHING PTE. LTD.10.18063/EIR.v4i2.1552ArticleResearch on A Class of Infinite Radical Nested Limit Problems Based on MATLABhttps://artdesignp.com/journal/EIR/4/2/10.18063/EIR.v4i2.1552WangPeiying,ZhangZhenhao,HuangWeikuo,LiYanzhang,ChenXuyang2026422026-02-26In this paper, we use the cosine function to calculate the limit of an infinite root nested, modify the constants in the topic, and use the same method to calculate the limit. We extend the topic to the general case, and derive a limit formula containing the anti cosine function. Then we use the analogical reasoning method to derive a limit formula containing the anti hyperbolic cosine function. The curve of the function is drawn with mobile MATLAB, and the correctness of the results is verified, it shows the powerful function of MATLAB.infinite radical nesting, analogical reasoning, visualization, MATLAB; limit

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