双重指数函数的幂级数可展性

MacLaurin Series of a Double Exponential Function

考察一个函数在给定区间上是否可展为麦克劳林级数,一般是判断余项在该区间上是否趋于0.利用该方法,通过建立一个级数估计式,给出双重指数函数y=eex在实数域上的可展性证明.

By establishing estimation for the associated Lagrange remainder, we show that the double exponential function can be expressed as its Maclaurin series.