Sheet6 - Math 210 DHC Kouba Discussion Sheet 6 1 Follow the...

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Unformatted text preview: Math 210 DHC Kouba Discussion Sheet 6 1.) Follow the suggestions for testing each of the following series for convergence or diver— gence. 00 a.) Z 2(—3/ 4)"+1 (Use the geometric series test and find the sum if the series 7120 converges.) b.) M8 x/n+3— «n+4 1 n +3n+2 6 3 H 1 l < > (Use the sequence of partial sums test.) M8 [0 c.) (Use partial fractions and the sequence of partial sums test.) || p—l 71 n M8 d.) (Use the integral test.) en 3 II .—| M8 ElH e.) (Use the comparison test.) 3 H ._. n+3 n2+3n+3 M8 f.) (Use the limit comparison test.) n 2 1 nlnn M8 g.) (Use the integral test.) n 2 l n2lnn M8 h.) (Use the limit comparison test.) n 2 2.) Determine the value of the following convergent series : 24—12+6—3+3/2—3/4+~~- 00 1 3.) The series 2 .7; diverges. Estimate the sum of the first 2,000,000 terms of this series. n=1 (Use (*) from class handout.) ...
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