计算数列和函数的极限是数学分析的基本运算之一。计算极限除了要熟练运用四则运算的极限法则以外,还必须掌握和运用一些常用的方法和技巧。 数列极限与函数极限之间有着十分密切的关系。如果存在,则必有:因此,当要计算时,如果有一函数f(x)存在,能使a_n=f(n),则可先算。若这个极限存在,必有,这样数列极限问题通过函数极限计算得到解决。但是,并非任何数列极限问题都能化为函数极限问题。当数列的通项本身呈现n项之 Calculating the limits of series and functions is one of the basic operations of mathematical analysis. In addition to using the limit law of quad arithmetic, the computational limit must master and use some common methods and techniques. There is a very close relationship between the limit of the series and the limit of the function. If it exists, then there must be: Therefore, if there is a function f(x) when it is to be calculated and a_n=f(n) can be made, it can be calculated first. If this limit exists, there must be, so that the series of limit problems are solved by the function limit calculation. However, not all numerical limit problems can be turned into function limit problems. When the general term of the series presents n terms