Section 14.3 One-sided Limits; Continuous Functions
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Section 14.3
One-sided Limits;
Continuous Functions
OBJECTIVE 1
11 1
For the function
1 if 1
0 if 1
3 if 1
find: (a) lim (b) lim (c) limxx x
x x
f x x
x x
f x f x
OBJECTIVE 2
2
1
4
xR x
x
(b) Use limits to analyze the graph near any discontinuities.
Determine the numbers at which the following function is continuous.
if 0
if 0 4
1 if 4
x x
f x x x
x
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