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