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
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Limit comparison test | Series | AP Calculus BC | Khan Academy
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Khan Academy has 1 million subs and this video has 0 comments? huh
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What is this called? Calculus?
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You're awesome dude!
Why did he divide the numerator and the denominator by 2^n at 5:45
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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.
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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 :_)