Determine whether the following series converges. Justify your answer. 00 2k² +k Σ 2 k=18K² - 1 Select the correct choic

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Determine whether the following series converges. Justify your answer. 00 2k² +k Σ 2 k=18K² - 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The Root Test yields p= so the series converges by the Root Test. OB. The Ratio Test yields r = so the series converges by the Ratio Test. O C. The limit of the terms of the series is, so the series diverges by the Divergence Test. O D. The series is a p-series with p = O E. The series is a geometric series O F. The series is a p-series with p= , so the series converges by the properties of a p-series. with common ratio , so the series diverges by the properties of a geometric series. so the series diverges by the properties of a p-series.