Determine if the series converges or diverges. Use any method, and give a reason for your answer. 00 Σ 1 3 k=3√k-4k+ 12 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The series diverges because the limit found in the nth-Term Test is 00 Ο B. Because Σ ∞0 Σ k=3√k-4k+12 k=3√k O E. 1 1 ∞0 and Σ OC. The series diverges per the Integral Test because ak Since lim = 1, where ak k→∞obk 1 k=3√3 1 √k-4k+12 00 3 √k-4k+12 OD. The series converges because it is a geometric series with r= and bk = Test. OF. The series diverges because it is a p-series with p = converges, the series converges by the Direct Comparison Test. 1 *** dx= , both series have positive terms, and the series 00 1 k=3√√k³ converges, the given series converges by the Limit Comparison