3. Let f(1) = r and for each real number n > 1, define the function In (x) = 1 – 1– |z| (i) Find the area A, bounded between f and gn. Your answer should depend on n. (ii) Find the area A bounded between f and the constant function c(z) = 1. (ii) Notice that as n becomes very large, A, approaches A. Explain why this is true by referring to the relationship between g, and c.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Let f(r) = 22 and for each real number n > 1, define the function
(i) Find the area A, bounded between f and gn. Your answer should depend on n.
(ii) Find the area A bounded between f and the constant function c(r) = 1.
(iii) Notice that as n becomes very large, An approaches A. Explain why this is true by referring to the
relationship between g, and c.
Transcribed Image Text:3. Let f(r) = 22 and for each real number n > 1, define the function (i) Find the area A, bounded between f and gn. Your answer should depend on n. (ii) Find the area A bounded between f and the constant function c(r) = 1. (iii) Notice that as n becomes very large, An approaches A. Explain why this is true by referring to the relationship between g, and c.
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