一个关于常数e的逼近式

A Result on the Approximation of Constant e

利用函数的单调性,可证明成立不等式:e(1-1/(2(n+7/8)))<(1+1/n)~n<e(1-1/(2(n+11/12))),并通过实例说明它在其他不等式证明中的简单运用。

Using the monotonicity of function, it can be proved that, where. Examples are given to show that this inequality can be used to prove other inequalities.