Quiz-11-Keys - Name Quiz 11 Keys e P 52 section 9.2...

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Name: _______________________________ Quiz 11 Keys P 52 section 9.2 : Determine convergence/divergence for the series: 1 n n e This section covers the nth term divergence test and geometric series test . So all you need to do is to select the correct method. One thing that you can do is to write out the first several terms to see if you can see a pattern: 2 3 4 1 1 1 1 1 1 1 1 ... n n n n n e e e e e e e It is clear that this is a geometric series with the constant ratio of 1 e . This ratio is definitely less than 1, so by virtue of the geometric seriest test, this series will converge. Use the Integral Test to test the C/D for: 1 1 2 1 n n Interal Test is just an extension of improper integral. You construct an improper integral by replacing
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