3. 如果Iimf(x)8)是0°,1”,o°型未定式 则 limf(x)(=limel(f()=limes(s)f) 而limg(x)nf(x)是0.o型未定式Q lim xInx 例如 limx*=lim exms =exn x→0t x→0+ 1 Inx lim Inx lim x*=lim e* =exox x→+o∞ x→+o 1 Inx lim In.x limx1 limex-i=e- x→1 x→13. 如果 ( ) lim ( ) g x f x 是 0 0 0 ,1 , 型未定式 ( ) g x f ( x ) g( x ) f ( x ) f x e e g x ( ) ln( ) ln lim lim lim ( ) 则 = = 而lim g(x)ln f (x) 是 0 型未定式 例如 x x x x x x x x x e e lim ln ln 0 0 0 lim lim → + + + = = → → x x x x x x x x x e e ln lim 1 ln lim lim →+ = = →+ →+ 1 ln lim 1 ln 1 1 1 1 1 lim lim − − → − → → = = x x x x x x x x x e e