{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# Chap10evenanswers(2) - MATH 1042 Section 10.1 12 a)11 38 0...

This preview shows pages 1–3. Sign up to view the full content.

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) 0 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 = 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 1 n 2 ) 36) Diverges (Limit comparison with 1 n 1 / 2 ) 38) Coverges (Limit comparison with 1 n 2 ) 40) Converges (Limit Comparison with 1 n 3 / 2 ) 50) Converges (Compare to 1 n 2 ) 52) Converges (geometric with r = 1 /e ) 54) Converges (Limit Comparison with 1 n 2 ) 56) Diverges (Test for Divergence)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Section 10.4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}