Comparison Test for Series

We've seen the Comparison Test for improper integrals before, but now we see the same thing for Series. It lets us take a messy series we don't understand well, compare it to a simpler series we do understand, and then deduce the convergence or divergence from this. Careful, though, because the direction of the inequalities make a difference!

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YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems!
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Other Course Playlists:

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► Want to learn math effectively? Check out my "Learning Math" Series:

►Want some cool math? Check out my "Cool Math" Series:

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This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati.

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[quanle]

Professor you are so concise and on point. As someone who is studying to become a math teacher, your style really helps me. Thank you.

[vijaysinghchauhan]

Easy to understand and the best thing is that you tell test limitations to your viewers.

[reganmian]

These are great for reviewing. I'm in graduate school now and the well scripted short videos with visualizations are well appreciated

[Salamanca-joro]

1:09 i understand everthing but i dont know how to simplify the series to compare it with another series, how do i compare it

[putin_navsegda]

I love your thematic playlists! Plz do one about functional analysis and differential geometry.

[ConceptualCalculus]

Now that we're all teaching online, I have started to have favorite math vid channels. If Trefor Bazett has a vid on a topic I need, that's the one I post for my students. You always have the math right, you explain it well, and your vids are very well made. When I need a topic you don't have, so I'm reduced to posting a lesser vid, I often have to write corrections or explanations to go along with it. I never need that for your vids.

[lemonadeelf]

Thank you so much, the examples are super helpful!

[komalsinghal]

Thanks a lot. Your videos are really really good.

[cokcury]

P-series, its new to me. please help me where to find it..

[zandiviljoen]

Lol no surprise that there's only one dislike💪🏽👌🏽