Question

求极限 x趋近于0时与 ln (1+2x)等价的无穷小量是?

Answer 1

可以证明　lim(x→0)[ln(1+x)]/x=1,从而x →0时,ln (1+x)～x

所以　x →0,ln (1+2x)～2x

x趋近于无穷,2ln [(x+3)/(x-3)]=2ln[1+6/(x-3)]～12/(x-3)