Q3Sols - QUIZ #3 ­ SOLUTIONS 1) 2) Express 0.9 as the...

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Unformatted text preview: QUIZ #3 ­ SOLUTIONS 1) 2) Express 0.9 as the ratio of two integers. 0.9 = .9999999999 … = .9 + .09 + .009 + .0009 + .9 1 a = .9, r = .1 ⇒ sum = = =1 1 − .1 1 Use the Comparison Test to determine if the following series is convergent or divergent. n2 + 1 ∑ n3 + 3 n =1 ∞ ? n2 + 1 ? 1 3 > ⇒ n + n > n 3 + 3, true ∀n ≥ 4. 3 n +3 n ∞ 1 ∑ n is the divergent harmonic series. n =1 n2 + 1 ∴∑ 3 is divergent by the Comparison Test. n =1 n + 3 ∞ ...
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This note was uploaded on 09/06/2011 for the course MATH 1c taught by Professor Garrison during the Spring '11 term at DeAnza College.

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