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- Evaluate by series approximationDetermine whether the series> 2" + 7" converges or diverges. If it converges, find its sum. 6. 9h n = 1 Select the correct answer below and, if necessary, fill in the answer box within your choice. 2" +7" O A. The series diverges because lim #0 or fails to exist. 9h " 2 +7 The series converges because lim OB. = 0. The sum of the series is 9" 6. (Simplify your answer.) O C. The series diverges because it is the sum of two geometric series, at least one with Ir| 21 The series converges because it is the sum of two geometric series, each with r<1. The sum of the series is (Simplify your answer) OD.lim In (1 + 1/n)" = n+ 00 Select one: а. 3 b. 1 с. 0 d. 2