x->0+,lim(1/X)^tanx=lim(1+(1-x)/x)^tanx=lim(1+(1-x)/x)^(x/(1-x)*(1-x)/x*tanx)=lim e^((1-x)/x*tanx)=e^(lim(1-x)/x*tanx)=e^(lim(1-x))=e^1=ex->0,设y=1/x->∞,不太清楚你表达式中e^(1/x)^2的具体形式,lim e^(y...