lim[(1+x)/(1-x)]的1/x次幂 x趋近0
问题描述：
lim[(1+x)/(1-x)]的1/x次幂 x趋近0
lim(1+x)/(1-x)的1/x次幂 x趋近0
答
lim(x->0) [(1+x)/(1-x)]^(1/x)=lim(x->0) [ 1+ (2x)/(1-x) ]^{[(1-x)/(2x)]*[(2x)/(1-x)*(1/x)]}=lim(x->0) {[1+ (2x)/(1-x) ]^[(1-x)/(2x)]} ^ [2/(1-x)]∵lim(x->0) {[1+ (2x)/(1-x) ]^[(1-x)/(2x)]} = elim(x->0...