Question

请回答一下这道题？

Answer 1

x->0
sinx = x-(1/6)x^3 +o(x^3)
x-sinx =(1/6)x^3 +o(x^3)
lim(x->0) (x-sinx)/(x^2.tanx)
=lim(x->0) (x-sinx)/x^3
=lim(x->0) (1/6)x^3/x^3
=1/6