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11. TRUE or FALSE. Identify if the statement is true or false. If True, then prove or explain. If it is False, then explain why or give a counterexample and explain why it works: 8 "If ƒ is continuous on [1,∞) and lim,... f(x) = 1, then ff(x) dx converges." 3 1

11. TRUE or FALSE. Identify if the statement is true or false. If True, then prove or explain. If it is False, then explain why or give a counterexample and explain why it works: 8 "If ƒ is continuous on [1,∞) and lim,... f(x) = 1, then ff(x) dx converges." 3 1

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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11. TRUE or FALSE. Identify if the statement is true or false. If True, then prove or explain. If it is False, then explain why or give a counterexample and explain why it works: "If f is continuous on [1,00) and limx→ f(x) = 2 9 then (x) dx converges." 1
Transcribed Image Text:11. TRUE or FALSE. Identify if the statement is true or false. If True, then prove or explain. If it is False, then explain why or give a counterexample and explain why it works: "If f is continuous on [1,00) and limx→ f(x) = 2 9 then (x) dx converges." 1
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