In some cases where the direct comparison test is inconclusive, we can use the limit comparison test. Learn more about it here.

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/e/limit-comparison-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC

Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/v/limit-comparison-test-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC

Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/v/comparison-test-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC

AP Calculus BC on Khan Academy: Learn AP Calculus BC – everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test

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What is this called? Calculus? The doctor treating me now says I have a tumor on the right side of my brain but that makes no sense because I've never felt pain on the right side, only on the left. He's got me all confused. I've always been left-handed and used my right brain side more than the left and now he's telling me they found a hemangioma on the right side. When you do math you use the left side of your brain, which always hurts when I use it too much. I've never felt a headache on the right side of my head, only the left. That's what makes me think is the reason I'm so lousy at math.

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Khan Academy has 1 million subs and this video has 0 comments? huh

Hey guys so it's pretty hard to get noticed on youtube but I was hoping that you guys would give my channel a shot. I make educational videos in hopes that it will help students with their classes. You don't even have to subscribe if you don't want to but it would mean a lot to me if you took a look! Thanks so much in advance!

What is this called? Calculus?

The doctor treating me now says I have a tumor on the right side of my brain but that makes no sense because I've never felt pain on the right side, only on the left. He's got me all confused. I've always been left-handed and used my right brain side more than the left and now he's telling me they found a hemangioma on the right side.

When you do math you use the left side of your brain, which always hurts when I use it too much. I've never felt a headache on the right side of my head, only the left. That's what makes me think is the reason I'm so lousy at math.

You're awesome dude!

Why did he divide the numerator and the denominator by 2^n at 5:45

take my tuition

Thank you sir! this helped lots!

what does he mean by positive and finite?

Thank you so much !

thank you

Thanks a bunch!! Really well done, i understood direct comparison test but LCT flew over my head until now.

Jesus man you're fucking awesome. Theres a lot of other good teachers on youtube, like professor leonard, and partcikjmt and such, but the one thing about your teaching is that you get the point across quickly. I dont have to spend 2.5 hours watching a whole lecture, or 6-7 different videos. You give us the theorems, maybe an example here and there, in like a 6 minute video. Thanks khan academy. Ya'll know whats up

How do we know 1/2^n converges?

But (1/2^n) doesn't Converge, it Diverges and is a Harmonic Series right?

are there more specific requirements for bn?

like if an is 1/2^n can i just set bn at 100^n?

I dont know when to use which method AHHH my exam is on saturday

If lim (an/bn) = t (t>1)

Then an > bn … If bn converges then it is not necessary for "an" to. Converge…

Pls can you prove the theorem?

helloo,

your tutorials are amaazzinnggg 😀

the only thing that I fail to understand is when do we know when to put n=1 or n=0 below the sigma notation…

Can somebody please explain it to me 🙂

Thanks in advance:)

Thanks.😄

d

Plz give homework questions at the end of your videos plzzz

1.25 speed

But what if the limit is zero when you do lim comparison. It's not positive??

So one use the limit comparison test when the direct comparison test gives you and inconclusive answers????

What if the limit comparison test equals 0?

For the second example can you use the traditional comparison test and say 1/1^n >= 1/(2^n – 1). Or is there something wrong there?

Your voice is so calming 🤍

Thank you :_)