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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. | In |x| dx -3 Choose the correct answer below. O A. By integration, the integral has a finite value, so the integral converges. B. By integration, the integral does not have a finite value, so the integral diverges. OC. f(x) is not a finite limit. By the Limit Comparison Test, the integral diverges because lim X-00 9(x) OD. By the Direct Comparison Method, the integral converges because In |x| dx converges and In |x| dx converges.

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. | In |x| dx -3 Choose the correct answer below. O A. By integration, the integral has a finite value, so the integral converges. B. By integration, the integral does not have a finite value, so the integral diverges. OC. f(x) is not a finite limit. By the Limit Comparison Test, the integral diverges because lim X-00 9(x) OD. By the Direct Comparison Method, the integral converges because In |x| dx converges and In |x| dx converges.

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. J In |지 dk -3 ... Choose the correct answer below. O A. By integration, the integral has a finite value, so the integral converges. O B. By integration, the integral does not have a finite value, so the integral diverges. f(x) is not a finite limit. g(x) By the Limit Comparison Test, the integral diverges because lim x00 OD. - 3 By the Direct Comparison Method, the integral converges because In |x| dx converges and In |x| dx converges. - 00 3
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. J In |지 dk -3 ... Choose the correct answer below. O A. By integration, the integral has a finite value, so the integral converges. O B. By integration, the integral does not have a finite value, so the integral diverges. f(x) is not a finite limit. g(x) By the Limit Comparison Test, the integral diverges because lim x00 OD. - 3 By the Direct Comparison Method, the integral converges because In |x| dx converges and In |x| dx converges. - 00 3
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