3. Let f(x) = x² and for each real number n > 1, define the function 1- || In(x) = 1 – n (i) Find the area An bounded between f and gn. Your answer should depend on n. (ii) Find the area A bounded between f and the constant function c(x) = 1. (iii) Notice that as n becomes very large, An approaches A. Explain why this is true by referring to the relationship between gn and c.
3. Let f(x) = x² and for each real number n > 1, define the function 1- || In(x) = 1 – n (i) Find the area An bounded between f and gn. Your answer should depend on n. (ii) Find the area A bounded between f and the constant function c(x) = 1. (iii) Notice that as n becomes very large, An approaches A. Explain why this is true by referring to the relationship between gn and c.
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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