Suppose f, g, h, i, j, k are functions satisfying • lim f(x) = lim g(x) = 0, x2 • h(x) > 0 for all a # 2 and lim h(x) = 0, %3D エ→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
10. lim (f(x)i(x))
11. lim (f(x)h(r))
は→2
12. lim k(r)
エ→2
13. True or false: k(x) = j(x) for all a.
Transcribed Image Text:10. lim (f(x)i(x)) 11. lim (f(x)h(r)) は→2 12. lim k(r) エ→2 13. True or false: k(x) = j(x) for all a.
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