3. Let f(x) = 3 - X, 82 X +1, x > 2. 3 x < 2 0 y = 3-x 2 y=2+1 4 → X a. Find lim,2+ f(x) and limx-2- f(x). b. Does lim-2 f(x) exist? If so, what is it? If not, why not? c. Find lim, 4- f(x) and lim,-4+ f(x). d. Does limx→4 f(x) exist? If so, what is it? If not, why not?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 52E
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Question
3.) Let f(x)
-
3 - x,
x < 2
X
1+ + 1, x > 2.
2
OF JOS @
y
Fnie 1
3
0
y=3-x
701
2
y=1/3+1
4
ob
a. Find lim,2+ f(x) and limx→2-f(x).
X→
10
25
> X
11
200
will word wo
b. Does limx→2 f(x) exist? If so, what is it? If not, why not?
c. Find limx→4- f(x) and limx-4+ f(x).
d. Does lim,-4 f(x) exist? If so, what is it? If not, why not?
Transcribed Image Text:3.) Let f(x) - 3 - x, x < 2 X 1+ + 1, x > 2. 2 OF JOS @ y Fnie 1 3 0 y=3-x 701 2 y=1/3+1 4 ob a. Find lim,2+ f(x) and limx→2-f(x). X→ 10 25 > X 11 200 will word wo b. Does limx→2 f(x) exist? If so, what is it? If not, why not? c. Find limx→4- f(x) and limx-4+ f(x). d. Does lim,-4 f(x) exist? If so, what is it? If not, why not?
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