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Unformatted text preview: Math 1120, Fall 2011 Homework 11 — due 11/10 or 11/11 2 (b) [8 points] Suppose 13 billion years ago (the day the universe was formed, apparently) you start with s 1 = 1 , and you add a new term every second . About how large would the partial sum s n of the harmonic series be on 11/10/2011 (that is, about now), assuming a 365–day year. 2. [10 points] (10.4: 40) Does the series ∞ s n =1 2 n + 3 n 3 n + 4 n converge or diverge? Explain your answer. CONTINUE TO THE NEXT PAGE. Math 1120, Fall 2011 Homework 11 — due 11/10 or 11/11 3 3. [10 points] (10.4: 58) Show that if ∑ a n is a convergent series of nonnegative terms, then ∑ a n 2 converges. ( You many use results from the textbook or from class, provided you state them clearly. ) THIS IS THE LAST PAGE....
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 '06
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 Math, Calculus

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