因为分母是x^2的等价无穷小所以分子也应该是x^2的同阶无穷小因为当x~0,3x-2≠0原式~lim(x~0)(3x-2)[-1/2xf(x)]tanx/x^2~lim(x~0)-1/2(3x-2)f(x)[lim(x~0)xtanx/x^2]=f(0)=2所以lim(x~0)f(x)=2
方法:等价无穷小。分母ln(1+x)等价于x,分子(3x-2)[-1/2xf(x)]x,接下来自己算吧