Chap10evenanswers(2)

Chap10evenanswers(2) - MATH 1042 Chapter 10 Even Homework...

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Unformatted text preview: MATH 1042 Chapter 10 Even Homework Answers Section 10.1 12) a )11 b )64 c )28 d )- 40 14) 3 2 22) 1 38) 60) Diverges Section 10.2 4) S 2 =- 1 / 2; S 4 =- 7 / 12; S 6 =- 37 / 60 12) S n = 0 if n is even and S n = 1 if n is odd, so the sequence of partial sums, and hence the series, diverges. 16) Since lim n →∞ cos (1 /n ) = cos 0 = 1 6 = 0, the series diverges by the Divergence Test. 20) 11 8 24) 1 e- 1 26) 35 3 28) 4 30) 7 15 32) b) and c) Extra Problems: a) 4 b) Diverges c) 9 10 Section 10.3 10) Converges (Use Integral Test) 18) The second inequality is useful: the first will give that your terms are smaller than terms of a divergent series - that doesn’t help you; the second inequality gives the terms are smaller than terms of a convergent series which allows you to conclude convergence. 30) Converges (Use ln n < n and compare to X 1 n 2 ) 36) Diverges (Limit comparison with X 1 n 1 / 2 ) 38) Coverges (Limit comparison with X 1 n 2 ) 40) Converges (Limit Comparison with X 1 n 3...
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This note was uploaded on 04/19/2011 for the course MATH 1042 taught by Professor Dr.z during the Spring '08 term at Temple.

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Chap10evenanswers(2) - MATH 1042 Chapter 10 Even Homework...

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