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5. lim (f(x)+ g(x)) 6. lim (f(x) – g(x)) 7. lim(f(x)g(x)) (f(x) 8. lim 2→2 g(x) 9. lim (f(x)+i(x)) 10. lim (f(x)i(x))

5. lim (f(x)+ g(x)) 6. lim (f(x) – g(x)) 7. lim(f(x)g(x)) (f(x) 8. lim 2→2 g(x) 9. lim (f(x)+i(x)) 10. lim (f(x)i(x))

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section5.3: Graphs Of Polynomial Functions
Problem 2TI: Use the graph of the function of degree 5 in Figure 10 to identify the zeros of the function and...
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I need answers 5-10.

Suppose f, g, h, i, j, k are functions satisfying • lim f(x) = lim g(x) = 0, x→2 • h(x) > 0 for all x + 2 and lim h(x) = 0, %3D x→2 • lim i(x) = 3, x→2 • j(x) is a polynomial and j(2) = 5, (x – 2)j(x) k(x) х — 2 If possible, calculate the following limits or determine that they do not exist. Classify infinite limits if possible. If there is not enough information to determine what happens, find examples that illustrate that different behavior is possible. 1. lim (i(x) + j(x)) x+2 2. lim (i(x)j(x)) i(x) 3. lim 2+2 h(x) i(x) 4. lim x→2 \f(x) 5. lim (f(x)+ g(x)) x→2 6. lim (f(x) – 9(2)) x→2 7. lim (f(x)g(x)) x→2 (f(x)\ 8. lim x+2 g(x) 9. lim (f(x)+ i(x)) 10. lim(f(x)i(x))
Transcribed Image Text:Suppose f, g, h, i, j, k are functions satisfying • lim f(x) = lim g(x) = 0, x→2 • h(x) > 0 for all x + 2 and lim h(x) = 0, %3D x→2 • lim i(x) = 3, x→2 • j(x) is a polynomial and j(2) = 5, (x – 2)j(x) k(x) х — 2 If possible, calculate the following limits or determine that they do not exist. Classify infinite limits if possible. If there is not enough information to determine what happens, find examples that illustrate that different behavior is possible. 1. lim (i(x) + j(x)) x+2 2. lim (i(x)j(x)) i(x) 3. lim 2+2 h(x) i(x) 4. lim x→2 \f(x) 5. lim (f(x)+ g(x)) x→2 6. lim (f(x) – 9(2)) x→2 7. lim (f(x)g(x)) x→2 (f(x)\ 8. lim x+2 g(x) 9. lim (f(x)+ i(x)) 10. lim(f(x)i(x))
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