MA241_review_sheet_4

MA241_review_sheet_4 - MA241-012, Fall 2008 Test 4 review...

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Unformatted text preview: MA241-012, Fall 2008 Test 4 review sheet Disclaimer: This review sheet is only intended to give you some guidance, and thus should not be taken as an exhaustive listing of possible test question topics. Do not expect this every time. Calculators will not be allowed on this test. No notes or other aids will be allowed on this test. The test will cover 8.2-8.5 8.2 You need to know what a series is, what it means for a series to converge/diverge (and how that is different from a sequence converging/diverging). You need to know the n-th term test for divergence. You need to be able to recognize a geometric series and determine if it is divergent or convergent (and if convergent, what it converges to). You need to be able to recognize a telescopic series, determine if it is convergent, and, if so, what it converges to. You need to be able to express a repeating decimal as a ratio of two integers (i.e., as a fraction). 8.2-8.4 You need to know and be able to use all of the series convergence tests discussed in these sections (we talked about all of them in class): nth-term test for divergence, harmonic series, telescopic series, p-series, integral...
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MA241_review_sheet_4 - MA241-012, Fall 2008 Test 4 review...

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