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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