ln(x+1)/x ,当x趋近于0时 ,这个怎么求极限啊,分子和分母都趋近于0饿,
3个回答

学了e的定义吗?e=lim(x->0)(x+1)^(1/x)或lim(x->∞)(1+1/x)^x

lim(x->0)[ln(x+1)]/x

=lim(x->0)(1/x)[ln(x+1)]

=lim(x->0)[ln(x+1)^(1/x)]

=ln[lim(x->0)(x+1)^(1/x)]

=lne

=1

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