limx→∞y→a (1+1/x)^((x^2)/(x+y))

问题描述:

limx→∞y→a (1+1/x)^((x^2)/(x+y))

limx→∞y→a[ (1+1/x)^x][^((x/(x+y))]
=e^{limx→∞y→a[^((x/(x+y))]}
=e^1
=e