Use integration, the Direct Comparison Test, or the Limit Comparison Testto test the integral for convergence.dxx +9Choose the correct answer below.O A.By the Limit Comparison Test, the integral converges because lim1/x8 +9= 1 and1 diverges.1/xX00OB.1/x8 +9By the Limit Comparison Test, the integral converges because lim= 1 andconverges.1/xX00OC.By the Direct Comparison Test, the integral diverges because 0<-11on [0,00) anddiverges.O D. The integral cannot be evaluated using integration, so the integral diverges.

Given: ∫0∞dxx8+9=∫01dxx8+9+∫1∞dxx8+9 As, ∫01dxx8+9 is convergent. we will test the nature of the…

Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for convergence. 00 dx O x +9 Choose the correct answer below. O A. By the Limit Comparison Test, the integral converges because lim 1/ x8 + 9 = 1 and - diverges. 1/x* X00 OB. 1/ xº + 9 By the Limit Comparison Test, the integral converges because lim =1 and converges. 1/x* X00 OC. By the Direct Comparison Test, the integral diverges because 0 << 1 diverges. on [0,00) and X' O D. The integral cannot be evaluated using integration, so the integral diverges.

Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for convergence. 00 dx O x +9 Choose the correct answer below. O A. By the Limit Comparison Test, the integral converges because lim 1/ x8 + 9 = 1 and - diverges. 1/x* X00 OB. 1/ xº + 9 By the Limit Comparison Test, the integral converges because lim =1 and converges. 1/x* X00 OC. By the Direct Comparison Test, the integral diverges because 0 << 1 diverges. on [0,00) and X' O D. The integral cannot be evaluated using integration, so the integral diverges.

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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