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Assume f(x) is continuous and positive everywhere, and that f(x) dx the following. lim f(x) a) Assuming it exists, *→∞ lim f'(x) b) Assuming it exists, *→∞ converges. Find

Assume f(x) is continuous and positive everywhere, and that f(x) dx the following. lim f(x) a) Assuming it exists, *→∞ lim f'(x) b) Assuming it exists, *→∞ converges. Find

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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Assume f(x) is continuous and positive everywhere, and that (x) dx the following. a) Assuming it exists, z→∞ b) Assuming it exists, →∞ 10 lim f(x) f(x) dx Decide on the convergence or divergence of the following ("cannot be determined" is also an option). Defend your conclusion. lim f'(x) S [ f(x) sinx da [ f(x+3) dx f(f(x) + 3x) dx f² dz f(x) dx X f(x²) dx converges. Find
Transcribed Image Text:Assume f(x) is continuous and positive everywhere, and that (x) dx the following. a) Assuming it exists, z→∞ b) Assuming it exists, →∞ 10 lim f(x) f(x) dx Decide on the convergence or divergence of the following ("cannot be determined" is also an option). Defend your conclusion. lim f'(x) S [ f(x) sinx da [ f(x+3) dx f(f(x) + 3x) dx f² dz f(x) dx X f(x²) dx converges. Find
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