证明:当X>1时,e^1/x>e/x

问题描述:

证明:当X>1时,e^1/x>e/x

另f(x)=e^1/x-e/x求
导数,得到:
f"(x)=-1/x^2*e^1/x+e/x^2
=1/x^2(e-e^1/x)
当x>1时,1/x