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Compute the value of the following improper integral, if it converges. (If it diverges, enter oo if it diverges to infinity, -oo if it diverges

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Compute the value of the following improper integral, if it converges. (If it diverges, enter oo if it diverges to infinity, -oo if it diverges to negative infinity, or DNE if it diverges for some other reason. ) Hint: integrate by parts. 0 2 In(x) 23 2 In(n) What does the value of the improper integral tell use about the convergence of the series . ? n3 n=1 O the series converges O the series diverges O the Integral Test does not apply

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