Improper Integral Comparison Test Help!?
I am really stuck on this improper integral comparison test question! I know I have most of these parts right, whether they converge or diverge for sure! It's which equation A, B, C, D to compare them each to that I'm not sure about. I think the first two are right, not sure about the others.
Thanks for any help!
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http://i.imgur.com/gDy6v.png
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For #3, you should be comparing to integral A, which does diverge.
(The behavior of x/(x^2 - 0.5) > x/x^2 = 1/x for x > 0.)
Otherwise, your answers are correct.
I hope this helps!