- Let f: [0,1] -> [0,00) be Lebesgue measurable. For n € N, define fr 9n 1 + fn (a) Explain why gn(t) dt exists and is finite for all n. (b) Prove that lim gn (t) dt exists and find an expression for it. Make sure to state which major Theorem are you using in your proof. 72-00
- Let f: [0,1] -> [0,00) be Lebesgue measurable. For n € N, define fr 9n 1 + fn (a) Explain why gn(t) dt exists and is finite for all n. (b) Prove that lim gn (t) dt exists and find an expression for it. Make sure to state which major Theorem are you using in your proof. 72-00
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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