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Determine whether the following series converges. Justify your answer. 4 Σ k=1 (k+4)³ Select the correct choice below an
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Determine whether the following series converges. Justify your answer. 4 Σ k=1 (k+4)³ Select the correct choice below an
Determine whether the following series converges. Justify your answer. 4 Σ k=1 (k+4)³ Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a geometric series with common ratio , so the series converges by the properties of a geometric series. , so the series converges by the properties of a p-series. O B. The series can be rewritten as a p-series with p= O C. The limit of the terms of the series is , so the series diverges by the Divergence Test. OD. The Ratio Test yields r = so the series diverges by the Ratio Test. O E. The series is a geometric series with common ratio O F. The series can be rewritten as a p-series with p= so the series diverges by the properties of a geometric series. so the series diverges by the properties of a p-series.