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3. Because the form 0-∞ is indeterminate, knowing that functions f and g satisfy lim f(x) = 0, lim g(x) = x 14X 848 tells us very little about lim f(r)g(x). 84x 148 (a) Find formulas for f and g such that lim f(x)g(x) is a 0-∞o form that has a limit of x. (b) Find formulas for f and g such that lim f(r)g(r) is a 0-∞ form that has a limit of 0. (c) Find formulas for f and g such that lim f(x)g(x) is a 0-∞ form that has a limit of 1. (d) Find formulas for f and g such that lim f(x)g(x) is a 0-∞ form that has a limit of 13.72. 818 Hint: you can answer each part by choosing f(x) and g(x) to each be of the form Cr" for appropriate constants C and p.

3. Because the form 0-∞ is indeterminate, knowing that functions f and g satisfy lim f(x) = 0, lim g(x) = x 14X 848 tells us very little about lim f(r)g(x). 84x 148 (a) Find formulas for f and g such that lim f(x)g(x) is a 0-∞o form that has a limit of x. (b) Find formulas for f and g such that lim f(r)g(r) is a 0-∞ form that has a limit of 0. (c) Find formulas for f and g such that lim f(x)g(x) is a 0-∞ form that has a limit of 1. (d) Find formulas for f and g such that lim f(x)g(x) is a 0-∞ form that has a limit of 13.72. 818 Hint: you can answer each part by choosing f(x) and g(x) to each be of the form Cr" for appropriate constants C and p.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.1: Limits
Problem 72E: Use a graphing calculator to answer the following questions. a. From a graph of y=xex, what do you...
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3. Because the form 0-∞ is indeterminate, knowing that functions f and g satisfy lim f(x) = 0, lim g(x) = ∞ #4X 848 tells us very little about lim f(x)g(x). 14x (a) Find formulas for f and g such that lim f(x)g(x) is a 0-∞ form that has a limit of ∞o. 148 (b) Find formulas for f and g such that lim f(x)g(x) is a 0-∞ form that has a limit of 0. 148 (c) Find formulas for f and g such that lim f(x)g(x) is a 0. ∞o form that has a limit of 1. (d) Find formulas for f and g such that lim f(x)g(x) is a 0-∞ form that has a limit of 13.72. 148 Hint: you can answer each part by choosing f(x) and g(x) to each be of the form Cr" for appropriate constants C and p.
Transcribed Image Text:3. Because the form 0-∞ is indeterminate, knowing that functions f and g satisfy lim f(x) = 0, lim g(x) = ∞ #4X 848 tells us very little about lim f(x)g(x). 14x (a) Find formulas for f and g such that lim f(x)g(x) is a 0-∞ form that has a limit of ∞o. 148 (b) Find formulas for f and g such that lim f(x)g(x) is a 0-∞ form that has a limit of 0. 148 (c) Find formulas for f and g such that lim f(x)g(x) is a 0. ∞o form that has a limit of 1. (d) Find formulas for f and g such that lim f(x)g(x) is a 0-∞ form that has a limit of 13.72. 148 Hint: you can answer each part by choosing f(x) and g(x) to each be of the form Cr" for appropriate constants C and p.
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