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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 g(x) = 0. Then what is lim, +0 h(x). Why? If instead we have lim,-→0 9(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 g(x) = 0. Then what is lim, +0 h(x). Why? If instead we have lim,-→0 9(x) = 1, how does your response change?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 9(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 9(x) = 1, how does your response change?
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