Section10.3b-ConvergenceOfSeriesWithPositiveTerms

Checkcriteria executetest

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Unformatted text preview: Test) Steps 1) 2) 3) 4) Identify series to compare to. Check criteria. Execute test. Show convergence results for comparison series. 5) State conclusion. Repeat Example 1 2 1 n 1 n2 1 n an an bn a n bn 1 n 1 for all n > 2 both with positive terms 3 is a divergent p‐series, p = 1 > 1 4 bn n2 is divergent by CT (Comparison Test) 5 Example 2 1 1 2n 1 n 1 an 1 2n 1 an bn bn bn 2 1 2n for all n ≤ 1 both with positive terms 3 1 is a convergent geometric series, r 2 1 4 an n 1 is convergent by CT (Comparison Test) 5 Example 3 cos 2 n n3 n 1 1 3 cos 2 n 1 for all n 3 3 n n 1 n3 2 both series have positive terms is a convergent p‐series, p = 3 > 1 4 is convergent by CT (Comparison...
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This note was uploaded on 02/24/2014 for the course APMA 1110 taught by Professor Morris during the Fall '11 term at UVA.

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