3.1. LIMITS 83
Problem 3.13 For which values of c does the function
h.x/ D
x
2
C 4x x < c
3x 2 x c
have a limit at x D c?
5
-5
-4 4
h(x)
Problem 3.14 Using h.x/ from the graph above answer the following questions.
1. What is the value of the point x D c where the rules change over?
2. What is lim
x!c
h.x/?
3. What is lim
x!c
C
h.x/?
4. Does the limit of g.x/ at c exist?
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