Use any method to determine if the series converges or diverges. Give reasons for your answer. Σ ∞ n=1 n!/3^n Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The series diverges by the Absolute Convergence Test. B. The series diverges because the limit used in the nth-Term Test is . C. The series converges because the limit used in the nth-Term Test is . D. The Comparison Test with Σ∞ n=1 n! shows that the series diverges. E. The Comparison Test with Σ∞ n=1 1/3^n shows that the series converges. F. The series converges by the Absolute Convergence Test.
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Use any method to determine if the series converges or diverges. Give reasons for your answer. Σ ∞ n=1 n!/3^n Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The series diverges by the Absolute Convergence Test. B. The series diverges because the limit used in the nth-Term Test is . C. The series converges because the limit used in the nth-Term Test is . D. The Comparison Test with Σ∞ n=1 n! shows that the series diverges. E. The Comparison Test with Σ∞ n=1 1/3^n shows that the series converges. F. The series converges by the Absolute Convergence Test.