【摘要】 通过对第十一届全国大学生数学竞赛决赛的一道试题进行联想，讨论了利用泰勒公式对无法直接凑成定积分形式的，如n项和与其极限值之差的等价无穷小的一种做法.更多还原

【Abstract】 Associations are made through a problem in the 11 th National Mathematics Competition Final for College Students, where finding the equivalent infinitesimal of the difference between the sum of n terms, which cannot be directly formed into a definite integral, and its limit value is given by using Higher-order Taylor’s formula.更多还原