Comparison tests Use the Comparison Test or the Limit Comparison Test to determine whether the following series converge.
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- We want to use the Basic Comparison Test (sometimes called the Direct Comparison Test or just the Comparison Test) to determine if the series: k5 16 - converges or diverges by comparing it with: k We can conclude that: The first series diverges by comparison with the second series. The Basic Comparison Test is inconclusive in this situation. O The first series converges by comparison with the second series.arrow_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_forwardselect the correct answer and explain step by steparrow_forward
- Use the Comparison or the Limit Comparison test to show convergence ordivergence of each series.arrow_forwardUse 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_forwardIf a growth series and a linear series are specified that start at 1 and have a step value of 2, which series has a larger value when the 10th value is reached in each series? O The growth series is not provided by Excel O The growth series They are equivalent O The linear seriesarrow_forward
- Daly analysisarrow_forwardUse any method to determine if the series converges or diverges. Give reasons for your answer. 00 (n+4)! n=1 4/nl4 Σ Select the correct choice below and fill in the answer box to complete your choice. OA. The series converges because the limit used in the nth-Term Test is OB. The series converges because the limit used in the Ratio Test is OC. The series diverges because the limit used in the nth-Term Test is OD. The series diverges because the limit used in the Ratio Test is Next qarrow_forward