左极限时,1/x=-∞,e的-∞=0,所以,左极限=-1.右极限时,1/x=+∞,e的+∞=+∞,+∞/+∞=1
x->0+时,1/x->+∞,e^(1/x)->e^(+∞)->+∞,1/[e^(1/x)]->0f(0+)={1-1/[e^(1/x)]} / {1+1/[e^(1/x)]}=(1-0)/(1+0)=1x->0-时,1/x->-∞,e^(1/x)->e^(-∞)->0f(0-)=(0-1)/(0+1)=-1