1-dx the Comparison Test. 4 Given that -dx converges, how do we know that We cannot compare 00 1 x³ -0.5 1 1 x + 2 1 -dx with - dx to say that 00 -dx also converges? Explain using 1 x³ -0.5 Find another converging improper integral that you can compare with ∞ dx converges. Why? 1 x³ -0.5 dx to say that it does

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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Question
|dx
the Comparison Test.
4 Given that
-dx converges, how do we know that
We cannot compare
converge.
1
x³ -0.5
- dx with
1
1
x² + 2
11dx
- dx to say that
00
1
-dx also converges? Explain using
1
x² -0.5
Find another converging improper integral that you can compare with
00
dx converges. Why?
X³
1
0.5
dx to say that it does
Transcribed Image Text:|dx the Comparison Test. 4 Given that -dx converges, how do we know that We cannot compare converge. 1 x³ -0.5 - dx with 1 1 x² + 2 11dx - dx to say that 00 1 -dx also converges? Explain using 1 x² -0.5 Find another converging improper integral that you can compare with 00 dx converges. Why? X³ 1 0.5 dx to say that it does
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