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Unformatted text preview: X n =1 a n n ! , a > . (ii) Explain how to use the result of part (i) to prove that lim n a n n ! = 0 for all a > 0. 8.5. Determine whether the series below converges absolutely, conditionally, or diverges. X n =1 (-1) n-1 3 n n ! n n Hint: Recall that lim n 1 + 1 n n = e . 8.6. Assess the convergence of the following alternating series X n =2 1 n-1-1 n + 1 . 1...
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This note was uploaded on 07/15/2010 for the course MATH 1501 taught by Professor Shafikov during the Winter '10 term at UWO.
- Winter '10