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Given the function f(x)= (in blue), consider the functions g (in green) and h (in red) graphed below which are continuous on (0, ∞). Assuming the graphs continues in the same way as a goes to infinity, answer the following questions. 23/2 PIL

Given the function f(x)= (in blue), consider the functions g (in green) and h (in red) graphed below which are continuous on (0, ∞). Assuming the graphs continues in the same way as a goes to infinity, answer the following questions. 23/2 PIL

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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I think the second one is where's wrong. But I still think it does not make sense. Please explain and answer this one. Thank you!

 

Given the function f(x) = Diverge 1 (in blue), consider the functions g (in green) and h (in red) graphed below which are continuous on (0, ∞). Assuming the graphs continues in the same way as a goes to infinity, answer the following questions. T3/2 Converge ¹5.0⁰ ✓1. Does the improper integral Not sufficient information 2. Does the improper integral g(x) da converge, diverge, or not sufficient information? [. f(x) dx converge, diverge, or not sufficient information? ✓ 3. Does the improper integral h(x) dx converge, diverge, or not sufficient information?
Transcribed Image Text:Given the function f(x) = Diverge 1 (in blue), consider the functions g (in green) and h (in red) graphed below which are continuous on (0, ∞). Assuming the graphs continues in the same way as a goes to infinity, answer the following questions. T3/2 Converge ¹5.0⁰ ✓1. Does the improper integral Not sufficient information 2. Does the improper integral g(x) da converge, diverge, or not sufficient information? [. f(x) dx converge, diverge, or not sufficient information? ✓ 3. Does the improper integral h(x) dx converge, diverge, or not sufficient information?
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