Question
Asked Nov 4, 2019
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IT yuu
Latany
1
Use the Integral Test to determine if the following series converges or diverges:
[1]
n(Inny
n-2
nd t)
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IT yuu Latany 1 Use the Integral Test to determine if the following series converges or diverges: [1] n(Inny n-2 nd t)

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Expert Answer

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Step 1

To determine whether the given series is converges or diverges.

Consider the function

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1 f (x) 3/2

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Step 2

This function is clearly positive and if we make x larger the denominator will get larger and so the function is also decreasing. Therefore, we need to check the convergence of ...

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1 1 dc lim- x(n(x)) 3/2 2 =lim In2 (t n (2) 2 +lim In2 (2) =-lim In2 (t) 2 =-0+ In2 (2) 2 In2 (2 2.4

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Tagged in

Math

Calculus

Integration