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Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for convergence. If more than one method applies, use whatever method you prefer. 00 dx X'+ 4

Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for convergence. If more than one method applies, use whatever method you prefer. 00 dx X'+ 4

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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Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for convergence. If more than one method applies, use whatever method you prefer. dx +8 ... Choose the correct answer below. O A. The integral cannot be evaluated using integration, so the integral diverges. OB. 00 00 dx 1 1 By the Direct Comparison Method, converges because 0s on [4, o0) and dx converges. 4 4 +8 X' +8 OC. dx 1 By the Direct Comparison Method, diverges because 0s on [4, o0) and Gdx diverges. 4 x'+8 4 4 x'+8 O D. dx diverges because lim 17 (x* + 8) 1 dx diverges. By the Limit Comparison Test, = 1 and X'+8 4 1/x* X00 4
Transcribed Image Text:Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for convergence. If more than one method applies, use whatever method you prefer. dx +8 ... Choose the correct answer below. O A. The integral cannot be evaluated using integration, so the integral diverges. OB. 00 00 dx 1 1 By the Direct Comparison Method, converges because 0s on [4, o0) and dx converges. 4 4 +8 X' +8 OC. dx 1 By the Direct Comparison Method, diverges because 0s on [4, o0) and Gdx diverges. 4 x'+8 4 4 x'+8 O D. dx diverges because lim 17 (x* + 8) 1 dx diverges. By the Limit Comparison Test, = 1 and X'+8 4 1/x* X00 4
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