1）lim(x->∞) 2e^(1/x)/e^(4/x) =lim(x->∞) 2e^(1/x)/[e^(1/x)]^4=lim(x->∞) 2/[e^(3/x)] = 22）lim(x->0) 2e^(1/x)/e^(4/x)= 2 lim(x->0) e^(1/x)/[e^(1/x)]^4= 2 lim(x->0) 1/[e^(3/x)]= 0