Section 14.2

Algebra Techniques for Finding Limits

1 4

0

lim 2 lim

lim 4 lim

x x

x x

a b x

c d x

OBJECTIVE 1

3

Find lim 2x

x

3

Find lim 2x

x

1Find lim 3

xx

2

15

Find: (a) lim 2 3 (b) lim 3xx

x x

3

5Find lim 2

xx

OBJECTIVE 2

4 3 2

2Find lim 2 3 5 4

xx x x x

OBJECTIVE 3

6

0

2

2

23 3

1

Find: (a) lim 4 3

(b) lim 2 5

(c) lim 3 4 9

x

x

x

x

x

x x

OBJECTIVE 4

3 2

1

4 2 4Find: lim

2 1x

x x x

x

OBJECTIVE 5

2

Find the limit as approaches 4 of the average rate of change of the function

2from 4 to .

x

f x x xx