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Unformatted text preview: 1 361 491 64 + Â·Â·Â· converge or diverge? Explain your answer. CONTINUE TO THE NEXT PAGE. Math 1120, Fall 2011 Homework 12 â€” due 11/17 or 11/18 3 3. [10 points] (10.6: 58) Approximate the sum âˆž s n =0 (1) n 1 n ! within an error of magnitude less than 5 Ã— 106 . ( We will see in Section 10.9 that the sum is e1 .) CONTINUE TO THE NEXT PAGE. Math 1120, Fall 2011 Homework 12 â€” due 11/17 or 11/18 4 4. [15 points] (10.6: 62) Show that the sum of the Frst 2 n terms of the series 11 2 + 1 21 3 + 1 31 4 + 1 41 5 + 1 51 6 + Â·Â·Â· is the same as the sum of the Frst n terms of the series 1 1 Â· 2 + 1 2 Â· 3 + 1 3 Â· 4 + 1 4 Â· 5 + 1 5 Â· 6 + Â·Â·Â· . Do these sums converge? What is the sum of the Frst 2 n + 1 terms of the Frst series? If the sums converge, what is their sum? THIS IS THE LAST PAGE....
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This note was uploaded on 10/31/2011 for the course MATH 1120 at Cornell University (Engineering School).
 '06
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 Math, Calculus

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