Simple Guide to Series Convergence Tests
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- เผยแพร่เมื่อ 28 ก.ย. 2024
- Explanation of when to use different tests for convergence of an infinite series. This process will get us through most simple infinite series!
There are two other common convergence tests that I didn't include in this video:
1. Root test - use when everything is raised to the power of n
2. Absolute convergence test - use when dealing with series that go from positive to negative but don't alternate, such as Σsin(n)/n².
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There are two other common convergence tests that I didn't include in this video:
1. Root test - use when everything is raised to the power of n
2. Absolute convergence test - use when dealing with series that go from positive to negative but don't alternate, such as Σsin(n)/n².
This is a great video for Calc 2 students.
man this is calc 1 for me like what the helll....
FINALLY!!! I've understood which series test to use. This video is very helpful. Thx a lot mate.
Isn't the internet just awesome?
Very organized for different kinds of est! Good job!
I never comment on videos i watch but…👏👏
Can you please record a video on solving more equations
Dumb question, the telescoping, cauchy and the rest are included in the basic category?
Telescoping is usually a method to find the exact value of a series rather than showing that it converges, so that's why I left it out.
There are a few methods that I didn't mention which might have their own categories. My goal for this video was just to help students for a convergence test exam!
@@MuPrimeMath well done. Thank you.
amazing!!!
Honestly thank you.
Nice Video!
Thank you for thiiiiissss!!!!
your so awesome bro tnx for teaching us
#maths is awesome
Sir could please prove that the series (sin n)/n is not an absolutely convergence??
Thank you 😊
very nyc explaination
Anyone else feel bad cuz it’s hard to write on the whiteboard as a leftie
heres something that doesn't fit the ratio test example... (10^n)/10n
This is incredible! What a great way to organize things. This is far better than watching hours of other videos. It's definitely gonna help on the AP Calc test. Thanks!
I think I just found a gold mine of helpful videos! Thank you!!
Thank you for leaving a couple seconds of the whiteboard alone up at the end. I like to take screenshots so I can use them to review before tests, and you make it easier!
And now I'm rewatching this video because I have a test on Sequences and Series today. Wish me luck!
Super helpful, this was the biggest concern for me in calc 2. Will be practicing more and more. Thank you for this!
Wild. I just learned this in calc 2 today!
Dude this is actually so helpful, gonna be taking my Calc BC exam next week!
Bro that was super useful!! I just had a test, and last minute came across...really made the deciding process much much easier. Could you please extend it to include series in terms of trignometric and logarithmic functions?!
I'm in pre calc I shouldn't have to do this shit
A bit of nitpicking, I think your tongue slipped at 13:06, it is a horizontal asymptote (but if someone is interested in series, that's something he/she already knows, maybe?)
But a very nice video! I like your classification a lot!
Yes, that is a horizontal asymptote!
I wish I found this video before my midterm.... I got it for my finals though 😃
that was pretty constructive !
This was super helpful thank you so much! I hope you have a great day and bright future!
Thank you ! Keep working! ✊
I cant believe this video is free. Thank you brother...
It really helped me understand thankss!!
You're so amazing i love you
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excellent video
Cool job
very much struggling to hang on on this last leg of BC calc. This was a very useful video for me, thank you so much!
My calc 2 professor barely helps me out and only helps me when i understand the material. Why does she have that job if she isnt going to help her students and the class isnt even engaging at all
On a side note, you just explain it so better. You would make a great calc 2 professor
so grateful!!! Honestly I know each individual test but I was having a hard time understanding when to use what and this video made everything finally click!!!
This is so helpful!! I have my Ma1a placements next week 😅😅😅😅😅
Ok, but how do I make all of this look rigorous enough to make my professor say "ok he did enough"?
English is not my first language but bro was amazing
For the third one:
ne^(-n^2)=o(1/n^2)
Great job in the little minutes 🌸 tankss
bro might be the calc goat
Hey im from Oregon too
11:03 13:30
thx bro
ANGEL
Thank you so much for the video, i have something i couldn't get in the weird serie of n2*3n/n! in the 9:10 minute, when i calculate the limit i found it 6, so it is supposed to be divergent, and i don't know what i exactly did wrong, can you please explain why is it convergent ?
If you do the ratio test on that series, you should find that the ratio between consecutive terms approaches 0 as n approaches infinity. By the ratio test, this means the original series converges because r < 1.
Dude, have you thought about bulking? you have a solid frame, you’d be muscular giga math chad if you think about it. You’d end up converging everything in life, please leave some for the rest of us.
insanely helpful, thank you so much!!!!!!!
Bro you are actually amazing, I have my BC Calc test tmrw and this is such a great sum up!