Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
| f(x) dx
Assume f(x) is continuous and positive everywhere, and that Ji
converges. Find
the following.
lim f(x)
a) Assuming it exists, r+0
lim f'(x)
b) Assuming it exists, 2-0
Decide on the convergence or divergence of the following ("cannot be determined" is also an
option). Defend your conclusion.
| f(x) dx
10
f (x + 3) dx
| (f(x)+ 3x) d
f(x)
dx
| f(x) sin r da
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Transcribed Image Text:| f(x) dx Assume f(x) is continuous and positive everywhere, and that Ji converges. Find the following. lim f(x) a) Assuming it exists, r+0 lim f'(x) b) Assuming it exists, 2-0 Decide on the convergence or divergence of the following ("cannot be determined" is also an option). Defend your conclusion. | f(x) dx 10 f (x + 3) dx | (f(x)+ 3x) d f(x) dx | f(x) sin r da
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