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4. State and intuitively explain the Squeeze/Sandwich theorem. Let f(x), g(x), h(x) be functions such that |f(x)| < 2, h(x) = g(x)f(x) and lim,→0 9(x) = 0. Then what is limz 0 h(x). Why? If instead we have limr→0 g(x) = 1, how does your response change?

4. State and intuitively explain the Squeeze/Sandwich theorem. Let f(x), g(x), h(x) be functions such that |f(x)| < 2, h(x) = g(x)f(x) and lim,→0 9(x) = 0. Then what is limz 0 h(x). Why? If instead we have limr→0 g(x) = 1, how does your response change?

Calculus: Early Transcendentals
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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4. State and intuitively explain the Squeeze/Sandwich theorem. Let f(x), g(x), h(x) be functions such that |f(x)| < 2, h(x) = g(x)f(x) and lim,→0 9(x) = 0. Then what is lim→0 h(x). Why? If instead we have lim→0 g(x) = 1, how does your response change?
Transcribed Image Text:4. State and intuitively explain the Squeeze/Sandwich theorem. Let f(x), g(x), h(x) be functions such that |f(x)| < 2, h(x) = g(x)f(x) and lim,→0 9(x) = 0. Then what is lim→0 h(x). Why? If instead we have lim→0 g(x) = 1, how does your response change?
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