Comparison tests Use the Comparison Test or the Limit Comparison Test to determine whether the following series converge.
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- 00 Does the seriesE(- 1n+12+n° n4 converge absolutely, converge conditionally, or diverge? n= 1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. The series converges absolutely per the Comparison Test with > 00 n4 n= 1 B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OC. The series converges conditionally per the Alternating Series Test and the Comparison Test with n= 1 D. The series converges absolutely because the limit used in the nth-Term Test is E. The series diverges because the limit used in the nth-Term Test does not exist. O F. The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test isarrow_forwardI need help on this. Thank youarrow_forwardHow do you use the direct comparison test and the limit comparison test to compare these two series?arrow_forward
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- Use any method to determine if the series converges or diverges. Give reasons for your answer. (n + 4)(n+6) n! Σ n=1 Select the correct choice below and fill in the answer box to complete your choice. O A. The series diverges because the limit used in the nth-Term Test is OB. The series diverges because the limit used in the Ratio Test is. OC. The series converges because the limit used in the nth-Term Test is O D. The series converges because the limit used in the Ratio Test isarrow_forwardUse any method to determine if the series converges or diverges. Give reasons for your answer. (n+5)(n+2) n! n=1 Select the correct choice below and fill in the answer box to complete your choice. O A. The series converges because the limit used in the nth-Term Test is B. The series diverges because the limit used in the Ratio Test is Oc. The series converges because the limit used in the Ratio Test is OD. The series diverges because the limit used in the nth-Term Test isarrow_forwardA FINAL EXAM TO BE COMPLETED INDEPENDENTLY. 13. Consider the four p-series listed below. Briefly explain whether each series converges or diverges. (a) 2n-1 no3 (b) 1n-4 1 (c) En 1 (d) E -1arrow_forward
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