Question
Asked Nov 14, 2019
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Does the series converge or diverge?

11n 10
Σ
n2- 2n
n 3
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11n 10 Σ n2- 2n n 3

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Expert Answer

Step 1

The given series,

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11п - 10 п - 2n п3

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Step 2

The given series can be written as,

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10 11п 1n10 п? — 2n n-2n n2-2n п3 п3 11 10 -Σ { (п-2)п п-2 п 11 1 1 - SΣ (п-2) п п-2 Σ 1 п- 2 -|S 8 8

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Step 3

Using the p-series test...

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Converges If p >1 Diverges ; If ps1 1 8

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