请问如何对数列x^n/(n*n!)求和（n趋于无穷大）,如1 + x + x^2/（2!×2）+ x^3/（3!×3）...,如题.都困扰很久了:(Actually there is no elementary derivative.Have to use exponential integral Ei(x) to define the complex elements.Still thanks.
问题描述：
请问如何对数列x^n/(n*n!)求和（n趋于无穷大）,如1 + x + x^2/（2!×2）+ x^3/（3!×3）...,
如题.都困扰很久了:(
Actually there is no elementary derivative.Have to use exponential integral Ei(x) to define the complex elements.Still thanks.
答
逐项微分后求和再求积分