CAJ | 학술논문

该文从一个新的角度研究了高等数学中泰勒定理的本质，通过典型实例阐述了泰勒公式对函数及其各阶导数之间有机联系的深入刻画及运用其论证函数性态的要点，进而帮助学生更深入地理解并掌握泰勒定理这一教学重点和难点。
해문종일개신적각도연구료고등수학중태륵정리적본질，통과전형실례천술료태륵공식대함수급기각계도수지간유궤련계적심입각화급운용기론증함수성태적요점，진이방조학생경심입지리해병장악태륵정리저일교학중점화난점。
This paper studies the essence of Taylor’s theorem of Advanced Mathematics with a new point of view.The ilustrative typical examples deeply depict the organic connections of the function and its al-order derivatives,and the main points of the argumentation of function behavior with Taylor’s theorem,which help students understand and grasp the teaching focus and difficult points of Taylor’s theorem more deeply.