2²-4 lim 2-2 x + 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 6E
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Please answer (iv) only

(i)
(ii)
(iii)
(iv)
2. ALGEBRA OF LIMITS
Evaluate the following limit:
lim
u-2
√4u+1-3
u-2
t(√²+1)
2²-4
lim
x-2x + 2
(HINT: Note that a + 2 is the composite function fog where f(x) = |2| and
g(x) = x + 2. Then recall that the limit of a composite is the composite of the
limit: lima (fog)(x) = f(limx→a g(x)).
Transcribed Image Text:(i) (ii) (iii) (iv) 2. ALGEBRA OF LIMITS Evaluate the following limit: lim u-2 √4u+1-3 u-2 t(√²+1) 2²-4 lim x-2x + 2 (HINT: Note that a + 2 is the composite function fog where f(x) = |2| and g(x) = x + 2. Then recall that the limit of a composite is the composite of the limit: lima (fog)(x) = f(limx→a g(x)).
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