Determine whether the following series converges. Justify your answer. 1 Σ k=1 √√5k e √√5k Select the correct choice bel

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Determine whether the following series converges. Justify your answer. 1 Σ k=1 √√5k e √√5k Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) OA. The Integral Test yields [ f(x) dx = so the series converges by the Integral Test. O B. The series is a p-series with p = , so the series converges by the properties of a p-series. O C. The series is a geometric series with common ratio , so the series diverges by the properties of a geometric series. O D. The series is a p-series with p= , so the series diverges by the properties of a p-series. 00 O E. The Integral Test yields f(x) dx = so the series diverges by the Integral Test. O F. The series is a geometric series with common ratio so the series converges by the properties of a geometric series.