Question

求极限（X趋向于0）lim(1/x-1/(x^2)*in(1+x))的值

Answer 1

原式= lim(x->0) [x - ln(1+x)] / x² 洛必达法则

= lim(x->0) [1 - 1/(1+x) ] / (2x)

= lim(x->0) (1/2) * 1/(1+x)

= 1/2