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► My Integrals course: https://www.kristakingmath.com/integr... You can use the comparison theorem to say whether an improper integral converges or diverges. You'll learn about the comparison theorem when you study integrals, but also when you study sequences and series. Your goal is to find a function that's really similar to the function you're given, and then compare the two. If you can find a function that you know is always larger than the original function, and that comparison function converges, then you've proven that the original function converges. On the other hand, if you can find a function that you know is always smaller than the original function, and that comparison function diverges, then you've proven that the original function diverges. In other words, you're trying to find a smaller function and show that it diverges, or find a larger function and show that it converges. ● ● ● GET EXTRA HELP ● ● ● If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com ● ● ● CONNECT WITH KRISTA ● ● ● Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;) Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!” So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com FACEBOOK // / kristakingmath TWITTER // / kristakingmath INSTAGRAM // / kristakingmath PINTEREST // / kristakingmath GOOGLE+ // https://plus.google.com/+Integralcalc/ QUORA // https://www.quora.com/profile/Krista-...