Alternating series test | Series | AP Calculus BC | Khan Academy

[@NutyRiver]

I have a test on this tomorrow! Perfect timing for upload

[@mohammedemad2534]

How was it?

[@ebercota5652]

It would be nice if you did videos on trick questions of each topic you do. Thanks!!

[@picorrow]

Haha, I'm just about to have a quiz on this, and I'm glad your video arrived just one time!

[@Algebrainiac]

5:38 okay so I kind of disagree with how you said this… if the series doesn’t pass the alternating series test, then either one or both of the requirements for convergence are not satisfied. So the series would then diverge… However if it’s let’s say one that does not look like an alternating series, then obviously we wouldn’t use alternating series test to show if it converges or diverges. It’s important to carefully look at what kind of series you’re dealing with to know what test you’re going to apply. If I am wrong please do correct me but that’s how I see it…

[@waspsandwich6548]

He's saying you can't use the alternating series test to prove divergence.

[@atharvsawant7509]

Can you please start a series of math videos on rigorous proofs in real analysis? I find it way to hard to understand because of it's abstract nature

[@zakusa9891]

this is more common sense than proof

[@bendykes4929]

Great video!

[@firaol18]

Keep it up 💪

[@neagucristian2868]

This doesnt work with the limit comparison test right?

[@yanhesapmustafa2588]

bn doesn't have to be decreasing. take bn=-1.[(1/2)^(n-1)] for example. it is an increasing sequence but the alternating comparison test still applies.

[@yanhesapmustafa2588]

so apparently bn has to be bigger than 0 but that makes no sense to me

[@paulstophid]

bn >= 0

[@benbeck6103]

Wow it’s 4am

[@ari8069]

not disliking tought