数列、函数极限、数学归纳法一直是历年高考重点考查的内容.纵观近几年高考题,每年都有求极限的题目,常以选择、填空题的形式出现,有时也作为一个大题的某一小问出现,主要考查利用数列函数极限的定义、四则运算法则求极限,突出对数列极限问题的考查.这类问题常以等差、等比两类 The series, function limit, and mathematical induction have always been the focus of examinations in the college entrance examinations over the years. Looking at the college entrance examination questions in recent years, each year has the topic of seeking limits, often appearing in the form of selection and blank-filling questions, and sometimes as a topic. A small question arises, mainly examining the use of the definition of the limit function of a series of numbers, the principle of quadratic arithmetic to find the limit, and highlighting the examination of the limit problem of the series. Such problems often occur in equal and equal ratios.