Use the table of values of f to estimate the limit. 3) Let f(x)=x2-5, find lim f(x). x-0 Salma th A) B) C) D) -0.1 x -0.1 f(x) -2.9910 x -0.1 -0.01 -1.4970 -1.4999 x -0.1 f(x) -4.9900 -0.01 x -0.1 f(x) -1.4970 -0.01 -2.9999 -0.001 -0.001 -1.5000 0.001 -0.001 0.001 0.01 0.1 -3.0000 -3.0000 -2.9999 -2.9910 -0.01 -0.001 -4.9999 -5.0000 | 0.01 0.001 0.01 -1.5000 -1.4999 0.001 0.01 -5.0000 -4.9999 0.1 -1.4970 0.1 -0.01 -0.001 0.001 0.01 0.1 -1.4999 -1.5000 -1.5000 -1.4999 -1.4970 limit= -3.0 -; limit= 0.1 .; limit= -5.0 -4.9900 -; limit= -15.0 3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 45E
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What is the answer for 3, 4 and 5?

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14
Use the table of values of f to estimate the limit.
3) Let f(x) = x² – 5, find_lim f(x).
X-0
X
F(X)
A)
B)
-0.1
D)
x -0.1
f(x)-2.9910
x -0.1
f(x) |
C)
X 0.1
f(x) -4.9900
-1.4970
-0.01
SHORT ANSWER.
-0.01
-2.9999
X -0.1
-0.01
f(x) -1.4970 -1.4999
-0.01
-1.4999
-3
-0.01
-4.9999
Use the graph to evaluate the limit.
5) lim f(x)
L
-0.001
4/3
0.001
0.01
0.001
-0.001
-3.0000 -3.0000 -2.9999
-0.001
-1.5000
| 0.01
-0.001 0.001 0.01 0.1
-1.5000 -1.5000 -1.4999 -1.4970
-0.001 0.001 0.01
-5.0000 -5.0000 -4.9999
0.1
-2.9910
TR
0.1
-4.9900
0.001 0.01 0.1
-1.5000 -1.4999 -1.4970
Solve the problem.
4) What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x
approaches some value of a?
A) The limit of f(x) as x-a from the left exists, the limit of f(x) as x-a from the right exists, and
these two limits are the same.
B-2
0.1
B) The limit of f(x) as x-a from the left exists, the limit of f(x) as x-a from the right exists, and at
least one of these limits is the same as f(a).
C) Either the limit of f(x) as x-a from the left exists or the limit of f(x) as x-a from the right exists
D) f(a) exists, the limit of f(x) as x-a from the left exists, and the limit of f(x) as x-a from the right
exists.
; limit= -3.0
; limit = ∞
; limit= -5.0
; limit= -15.0
5)
3)
m
N
HAN
Transcribed Image Text:ad Print Save to OneDrive 14 Use the table of values of f to estimate the limit. 3) Let f(x) = x² – 5, find_lim f(x). X-0 X F(X) A) B) -0.1 D) x -0.1 f(x)-2.9910 x -0.1 f(x) | C) X 0.1 f(x) -4.9900 -1.4970 -0.01 SHORT ANSWER. -0.01 -2.9999 X -0.1 -0.01 f(x) -1.4970 -1.4999 -0.01 -1.4999 -3 -0.01 -4.9999 Use the graph to evaluate the limit. 5) lim f(x) L -0.001 4/3 0.001 0.01 0.001 -0.001 -3.0000 -3.0000 -2.9999 -0.001 -1.5000 | 0.01 -0.001 0.001 0.01 0.1 -1.5000 -1.5000 -1.4999 -1.4970 -0.001 0.001 0.01 -5.0000 -5.0000 -4.9999 0.1 -2.9910 TR 0.1 -4.9900 0.001 0.01 0.1 -1.5000 -1.4999 -1.4970 Solve the problem. 4) What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x approaches some value of a? A) The limit of f(x) as x-a from the left exists, the limit of f(x) as x-a from the right exists, and these two limits are the same. B-2 0.1 B) The limit of f(x) as x-a from the left exists, the limit of f(x) as x-a from the right exists, and at least one of these limits is the same as f(a). C) Either the limit of f(x) as x-a from the left exists or the limit of f(x) as x-a from the right exists D) f(a) exists, the limit of f(x) as x-a from the left exists, and the limit of f(x) as x-a from the right exists. ; limit= -3.0 ; limit = ∞ ; limit= -5.0 ; limit= -15.0 5) 3) m N HAN
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