关于一类特殊类型数列极限的计算方法

A Computing Method on Limit of a Special Sequence

利用导数定义给出了一种特殊类型数列{x_n}={f(1~p/n^(p+1))+f(2~p/n^(p+1))+...f(n^p/n^(p+1))}(p>0)极限计算的新方法,此方法是计算这一类型数列极限的非常有效的一种方法,并利用此方法计算出了比较难计算的几个数列的极限.

A new computing method of limit of a special sequence {xn}={f（1p/n（p＋1））＋f（2p/n（p＋1））＋...f（np/n（p＋1））}（p0）was presented by the definition of derivative. The method is very effective to compute this type of sequences.And the limit of several difficult sequences is computed by using this method.