lim(x->inf) ln(1+2x) / x
=lim ln[(1+2x)^(1/x)]
=ln lim [(1+2x)^(1/2x * 2)]
=ln (1)^lim 2,极限lim(x->inf) (1+x)^(1/x) = 1
=ln (1)
=0
lim(x->inf) ln(1+2x) / x
=lim ln[(1+2x)^(1/x)]
=ln lim [(1+2x)^(1/2x * 2)]
=ln (1)^lim 2,极限lim(x->inf) (1+x)^(1/x) = 1
=ln (1)
=0