Section10.2-SummingAnInfiniteSeries

Bugexampleconclusion n 1 1 1 d l l n 1 2 n

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Unformatted text preview: 2 n 1 2 2 n 1 1 1 r , a l 2 2 r is the common ratio, and a is the first term. 1 l 2 d s l 1 1 2 as expected. Try It Determine whether the following series are convergent or divergent. Find the sum of convergent geometric series. 11 23 n 1 en 3n1 n 1 n 1 n 0 1 2 4 1 n 0.0001n n n 1 n n2 2 Example 0.222 0.2 0.02 0.002 0.0002 0.222 0.222 2 2 2 2 10 100 1000 10000 2 21 2 1 2 1 10 10 10 10 100 10 1000 2 3 2 21 21 21 0.222 10 10 10 10 10 10 10 2 10 1 1 10 2 10 1 2 9 0.222 Theorem lim a 0 a If the series, , is convergent, then . n 1 n n n This means that, in order for a series to be convergent, the ter...
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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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