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Example 1. For the function f graphed below, find the following:
1.
2.
3.
4.
lim_ f(x) =
lim f(x) =
24-3+
lim_ f(x) =
f(-3) =
5. lim_f(x) =
-111
6. lim f(x) =
7. lim f(x) =
8. f(-1)=
9.
10.
11.
12.
13.
14.
15.
16.
y
SECTION 2.1: LIMITS GRAPHICALLY
lim f(x) =
lim f(x) =
z-2+
lim f(x) =
z-2
f(2)=
lim f(x) =
lim f(x) =
lim f(x) =
2-4
f(4)=
Note that the function is continuous at z = 4 and hence
17.
18.
19.
lim f(x) =
z-6-
lim f(x)=
z-64
lim f(x) = lim f(x) = lim f(x) = f(4) = -1.
lim f(x) =
x-6
20. f(6)=
21. List the value(s) of z
at which f is discon-
tinuous.
