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_forwarddetermine if series is convergence or divergent and identify which test you usearrow_forwardselect the correct answer and explain step by steparrow_forward
- Using the comparison test show that the following series converge. (b) Ž k2ik k4+1 j=1 1 (a) j(j+i)arrow_forwardFind the interval of convergence for the given power series. (x - 4)" Σ n(- 9)" n=1 The series is convergent from x = left end included (enter Y or N): to x = right end included (enter Y or N): M C ㅈ # $ A de L % 5 6 D 8 7 8 9 #arrow_forwardUse any method to determine if the series converges or diverges. Give reasons for your answer. Σ (9e)="3 n=1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) OA. The series diverges because the limit used in the Ratio Test is B. The series diverges because the limit used in the nth-Term Test is C. The series converges because the limit used in the Ratio Test is OD. The series converges because the limit used in the nth-Term Test isarrow_forward
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