Question
Asked Aug 5, 2019
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Determine whether the alternating series converges or diverges

5
1)"
9 In n
9 Inn
n 2
LO
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5 1)" 9 In n 9 Inn n 2 LO

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Expert Answer

Step 1

Check whether the series is convergent or divergent.

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5 The given series is 2-!) 9lnn. 5 Here, a (-)" b where b 9lnn series test: Suppose a, and either Note that, Alternating a() b or a(-1)h b where b, 20 for all n. Then if, (i) lim b 0 and (ii) {b} is a decreasing sequence the series a, is convergent

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Step 2

Check the first condition of alterna...

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5 m bm n-y2o 91nn 1 5 -lim =0 Thus, the first condition holds

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