一个重要极限的证明、近似计算及其误差估计

The Proof Approximate Calculation and Error Estimation of an Important Limit

建立了3个数列的不等关系,然后用以证明了重要极限lim(1+1/n)~n=e的存在性,利用得出的结论,给出e的近似计算和误差估计的方法,把极限的证明、近似计算和误差估计结合起来。

The unequal relation among the three serieses is set up firstly. Then the existence of an important limit,lim e is proved . By using the conclusion obtained ,the methods of approximate calculation and error estimation of e are given . As a result,the proof .approximate calculation and error estination of the limit are combined.