x趋向于0 lim loga(1+x)/x=
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x趋向于0 lim loga(1+x)/x=
x趋向于0 lim loga(1+x)/x=
x趋向于0 lim loga(1+x)/x=
用洛毕达法则,limloga(1+x)/x=lim1/(1+x)lna=1/lna
解:原式=lim(1/x)loga(1+x)
x→0
=lim[loga(1+x)]^(1/x)
x→0
=loga{lim[(1+x)^(1/x)]}
x→0
=log(a,e)
=1/(lna)
loga(1+x)/x=loga(1+x)-logx
x趋向于0 lim loga(1+x)/x 为它的导数
等于1/((1+x)lna)-1/(xlna)
=(2x+1)/(xlna+x^2lna)
x趋向于0 lim loga(1+x)/x=
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