Question

( x^2 +7x + 10 ) ÷ ( x + 2 )​

Answer 1

∴

lim

x

→

2

 

x

2

−

7

x

+

10

x

−

2

=

−

3

Explanation:

lim

x

→

2

 

x

2

−

7

x

+

10

x

−

2

=

lim

x

→

2

 

(

x

−

5

)

(

x

−

2

)

x

−

2

When we evaluate the limit we look at the behaviour as  

x

approaches  

2

and we are not interested in what happens when  

x

=

2

so we can cancel the  

(

x

−

2

)

factor as  

x

≠

2

∴

lim

x

→

2

 

x

2

−

7

x

+

10

x

−

2

=

lim

x

→

2

 

(

x

−

5

)

∴

lim

x

→

2

 

x

2

−

7

x

+

10

x

−

2

=

(

2

−

5

)

∴

lim

x

→

2

 

x

2

−

7

x

+

10

x

−

2

=

−