B. TÍNH XLIM→−∞(3 X3+2X2+ −1 4X2 +2X+ +3 MX)NẾU M= −3 THÌ XLIM→−∞...

Câu 1b.

Tính

x

lim

→−∞

(

3

x

3

+2x

2

+ −1 4x

2

+2x+ +3 mx

)

Nếu m= −3 thì

x

lim

→−∞

(

3

x

3

+2x

2

+ −1 4x

2

+2x+ +3 mx

)

(

3

3

2

2

)

lim ( 2 1 ) ( 4 2 3 2 )=

→−∞

+ + − − + + +

x

x x x x x xTa có

x

lim

→−∞

(

3

x

3

+2x

2

+ − =1 x

)

x

lim

→−∞

3

(x

3

+2x

2

+1)

2

+2xx

2

3

+(1x

3

+2x

2

+1)

2

+x

2

= 23

(

2

)

2

2 3 1+ −x x x x+ + + = =lim 4 2 3 2 lim+ + −

→−∞

→−∞

4 2 3 2 2

x

x

x x xSuy ra

x

lim

→−∞

(

3

x

3

+2x

2

+ −1 4x

2

+2x+ +3 mx

)

=76Nếu m< −3 thì

x

lim

→−∞

(

3

x

3

+2x

2

+ −1 4x

2

+2x+ +3 mx

)

lim ( 2 1 ) ( 4 2 3 2 ) ( 3)=

→−∞

+ + − − + + + + + = +∞

x

x x x x x x m xNếu m> −3 thì

x

lim

→−∞

(

3

x

3

+2x

2

+ −1 4x

2

+2x+ +3 mx

)

=

→−∞

+ + − − + + + + + = −∞

2

1

3

1

C C C C