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Social ScienceIT yuuLatany1Use the Integral Test to determine if the following series converges or diverges:[1]n(Innyn-2nd t)
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Latany
1
Use the Integral Test to determine if the following series converges or diverges:
[1]
n(Inny
n-2
nd t)](https://prod-qna-question-images.s3.amazonaws.com/qna-images/question/9cf0beef-db32-4c0f-9cd4-e38f991663ba/1dc66c83-68f3-43e4-a501-9cf3e3cbecdb/60k5n8.jpeg)
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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)
Expert Answer
To determine whether the given series is converges or diverges.
Consider the function
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1 f (x) 3/2
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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