Suppose f, g, h, i, j, k are functions satisfying • lim f(x) lim g(2) = = 00, x→2 • h(x) > 0 for all x + 2 and lim h(x) = 0, lim i(x) = 3, • j(x) is a polynomial and j(2) = 5, (x – 2)j(x) - • k(x) = x – 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(æ)) 2. lim (i(x)j(x)) i(x) 3. lim 2+2 h(x) 4. lim エ→2 i(x) f(x)
Suppose f, g, h, i, j, k are functions satisfying • lim f(x) lim g(2) = = 00, x→2 • h(x) > 0 for all x + 2 and lim h(x) = 0, lim i(x) = 3, • j(x) is a polynomial and j(2) = 5, (x – 2)j(x) - • k(x) = x – 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(æ)) 2. lim (i(x)j(x)) i(x) 3. lim 2+2 h(x) 4. lim エ→2 i(x) f(x)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
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