Suppose f, g, h, i, j, k are functions satisfying • lim f(x) = lim g(x) = o, %3D x2 • h(x) > 0 for all x 2 and lim h(x) = 0, %3D x+2 • lim i(x) = 3, %3D x2 • j(x) is a polynomial and j(2) = 5, (x – 2)j(x) k(x) = x - 2

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Suppose f, g, h, i, j, k are functions satisfying
lim f(x)
= lim g(r) = ∞,
¤→2
h(x) > 0 for all z # 2 and lim h(x) = 0,
• lim i(x) = 3,
x→2
j(x) is a polynomial and j(2) = 5,
(x-2)j(x)
•k(x)
x – 2
Transcribed Image Text:Suppose f, g, h, i, j, k are functions satisfying lim f(x) = lim g(r) = ∞, ¤→2 h(x) > 0 for all z # 2 and lim h(x) = 0, • lim i(x) = 3, x→2 j(x) is a polynomial and j(2) = 5, (x-2)j(x) •k(x) x – 2
i(x)
4. lim
の→2
5. lim (f(x) + g(x))
6. lim (f(x) – g(x))
Transcribed Image Text:i(x) 4. lim の→2 5. lim (f(x) + g(x)) 6. lim (f(x) – g(x))
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