、极限的运算法贝 定理设limf(x)=A,limg(x)=B,则 x→x x→x (1)lim[∫(x)±g(x)=limf(x)+limg(x)=A±B x→x x→x0 x→x (2) lim cf()=c lim f(x)=CA x-x x→x (3)im[f(x)·g(x)= x→x0 皿mf(x)img(x)=4:B (4) lim (r) lim f(x) (其中B≠0) x→+xg(x)limg(x)B x-x 注意定理的使用条件 Economic-mathematics 16-2 Wednesday, February 24, 2021Economic-mathematics 16 - 2 Wednesday, February 24, 2021 定理 ( 0) lim ( ) lim ( ) ( ) ( ) (4) lim (3) lim [ ( ) ( )] lim ( ) lim ( ) (2) lim [ ( )] lim ( ) (1) lim [ ( ) ( )] lim ( ) lim ( ) 0 0 0 0 0 0 0 0 0 0 0 = =   =  =  = =  = + =  → → → → → → → → → → → B B A g x f x g x f x f x g x f x g x A B c f x c f x cA f x g x f x g x A B x x x x x x x x x x x x x x x x x x x x x x 其 中 一、极限的运算法则 设 lim ( ) , lim ( ) ,则 0 0 f x A g x B x x x x = = → → 注意定理的使用条件