关于高职高专教材正项级数审敛的进一步探究

Further Research on the Trial Convergence of Positive Series in Higher Vocational College

现行高职高专教材中正项级数审敛法主要有比值判别法、根值判别法和比较判别法三种,但对审敛法的优先顺序描述模糊,不利于学生理解和掌握。本文阐述了上述三种审敛法的关系,归纳出审敛法的优先顺序,在教学中融入此优先顺序后有助于学生学习。

In present mathematics teaching material in higher vocational college,the main series convergence criterions include comparison criterion, D＇ Alembert criterion and Cauchy criterion.The convergence criterion is described fuzzy in the book,which can not help students to understand.This article explained the relationship between th~ three convergences,and the priorities of convergences.