作业帮lim[(1+x)/(1-x)]的1/x次幂 x趋近0lim(1+x)/(1-x)的1/x次幂 x趋近0
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lim[(1+x)/(1-x)]的1/x次幂 x趋近0lim(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
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0lim(1+x)/(1-x)的1/x次幂 x趋近0
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)]} = e
lim(x->0) [2/(1-x)] = 2
= e^2
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