Let lim, 1 h(x) = 5, lim, 1 p(x) = 1, and lim, 1 r(x) = 2. Name the rules in Theorem 1 that are used to accomplish steps (a), (b), and (c) of the following calculation. %3D lim V5h(x) V5h(x) lim i p(x)(4 – r(x)) (a) lim (p(x)(4 – r(x))) (We assume the denominator is nonzero.) Vlim 5h(x) (b) lim p(x) ) lim (4 – r(x)) V5lim h(x) (c) lim p(x) lim 4 lim r(x) V(5)(5) (1)(4 – 2) 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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Let lim, 1 h(x) = 5, lim, 1 p(x) = 1, and lim, 1 r(x) = 2.
Name the rules in Theorem 1 that are used to accomplish steps (a),
(b), and (c) of the following calculation.
%3D
lim V5h(x)
V5h(x)
lim
i p(x)(4 – r(x))
(a)
lim (p(x)(4 – r(x)))
(We assume the denominator is nonzero.)
Vlim 5h(x)
(b)
lim p(x) ) lim (4 – r(x))
V5lim h(x)
(c)
lim p(x)
lim 4
lim r(x)
V(5)(5)
(1)(4 – 2)
2
Transcribed Image Text:Let lim, 1 h(x) = 5, lim, 1 p(x) = 1, and lim, 1 r(x) = 2. Name the rules in Theorem 1 that are used to accomplish steps (a), (b), and (c) of the following calculation. %3D lim V5h(x) V5h(x) lim i p(x)(4 – r(x)) (a) lim (p(x)(4 – r(x))) (We assume the denominator is nonzero.) Vlim 5h(x) (b) lim p(x) ) lim (4 – r(x)) V5lim h(x) (c) lim p(x) lim 4 lim r(x) V(5)(5) (1)(4 – 2) 2
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