lim f(x)=-o0, lim f(x)=+o0, x x=1是曲线的铅直渐近线 又∵lim f(x) =im 2(x-2)(x+3) =2, x→0 x→0 yC(x一 1) 2(x-2)(x+3) 2x] xlr 1) 2(x-2)(x+3)-2x(x-1) m x→0 y=2x+4是曲线的一条斜渐近线 上页= → + lim ( ) 1 f x x  − , = → − lim ( ) 1 f x x + ,  x = 1是曲线的铅直渐近线. = → x f x x ( ) 又lim ( 1) 2( 2)( 3) lim − − + → x x x x x = 2, 2 ] ( 1) 2( 2)( 3) lim[ x x x x x x − − − + → 1 2( 2)( 3) 2 ( 1) lim − − + − − = → x x x x x x = 4,  y = 2x + 4是曲线的一条斜渐近线