Activity: Investigate limlx| through a table of values. Approaching 0 from the left and from the right, we get the following tables: f(x) -0.3 -0.01 -0.00009 -0.00000001 f(x) 0.3 0.01 0.00009 0.00000001

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 7E
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Activity:
Investigate limlx| through a table of values.
Approaching 0 from the left and from the right, we get the following tables:
f(x)
-0.3
-0.01
-0.00009
-0.00000001
f(x)
0.3
0.01
0.00009
0.00000001
Transcribed Image Text:Activity: Investigate limlx| through a table of values. Approaching 0 from the left and from the right, we get the following tables: f(x) -0.3 -0.01 -0.00009 -0.00000001 f(x) 0.3 0.01 0.00009 0.00000001
We have
lim (fx)
f(c)
lim f(x) DNE
X-4
f(4) = 3
Once again we see that
lim (fx)) and f(c) are not the same.
ACTIVITY:
CONSIDER NOW f (x) = (x³ – 1). Compare lim (fx) and f(1).
%3D
|
X-1
Transcribed Image Text:We have lim (fx) f(c) lim f(x) DNE X-4 f(4) = 3 Once again we see that lim (fx)) and f(c) are not the same. ACTIVITY: CONSIDER NOW f (x) = (x³ – 1). Compare lim (fx) and f(1). %3D | X-1
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