Limit Comparison Test and Direct Comparison Test
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- Опубліковано 11 кві 2008
- Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Using the Limit Comparison Test to Determine if a series converges or diverges. For more free math videos, visit PatrickJMT.com
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wonderful! glad the videos help.
and nothing makes me feel better than to know that i am helping out another math teacher!
good luck!! teaching is the most noble profession! : )
you are the reason i am passing calc 2
Saaaame broooo
God is going to reward you for this, you have saved me
I have a test on Tuesday and I'm going to binge watch your videos until then. (you got me an A in calc1 last semester)
Just wanted to let you know that you have helped me understand in 10 minutes what my professor couldn't teach me in a week. And Patrick, you have no idea how popular you are. I'm in engineering and all of my classmates use your videos to get them through courses.
Amazing! This sunday i'll have calculus 2 midterm and these videos made me ready for the exam. Thanks!
if someone binge-watched all of these videos the day before their exam, i actually think they could pull a decent grade
lol naw humans cant retain that much information at once that well
That’s what I’m doing right now 😂
Scarlett Van Marie I just think it doesn’t matter if it’s taught over 4 months or in one night. It’s just hard to retain all of calc 2’s information
How about the day of the exam 😎
How about 30 minutes before the exam :)
I just learned 3 weeks of my Calc 151 class in about 30 minutes thanks to your videos! You are a great teacher and very helpful. Thank you!
I stopped the video half way because I almost broke down in tears. I'm actually understanding this thanks to you. There aren't any words to describe my gratitude.
Thank you! Your videos have been helping me since high school! I always recommend your videos to everyone who's having problems with calc.
Dude, this is awesome. My Math professor just lectured on this. My math professor is great but she skips over some things and makes you go in for office hours. Here, I can get all the important math details and you explain why it matters. Thanks so much for your videos. I've been using them to study for my mid-term I just took on Monday.
I haven't watched your other videos but you have the best series/sequence videos on youtube. Thanks so much for the hard work.
your videos always calm me down from panic. you really are the greatest math teacher 😭💗
Your making a public service here, you should be rewarded. This is a public service that helps students from all over the world to achieve success. Greetings from Portugal.
I find your videos very relaxing =) (not to mention enlightening!) Also, as a trainee maths teacher here in Australia, very useful as a nice style of teaching. Thanks heaps!
im going to pass calculus 2 with an A, you help me filling some holes. thank you!! :D
Filling holes 😂😂😂
I like you theone
what kind of holes are we talking about here
thank you very much patrick , you truly have helped me in my calc 2 class. i dont know what id do without you.
So huge shoutout to this guy. I got an exam on all series tests tomorrow and was dreading it until I saw these videos! THANK YOU SO MUCH
good luck!
years and years later, can't thank you enough
well, sometimes you can use both. you just have to be able to justify the inequality in the direct comparison test.
in general, if i think a problem can be done both ways, i usually opt for the limit comparison test (but i am also very comfortable at finding limits, which is something that gives some people problems!)
@purohiti yes, it for sure matters on the problem. sometimes, u can use both, sometimes only one seems to be applicable.
You definitely do. You saved me last year and are doing it again this year in my second year in Engineering
You are good my brother. You are very helpful. Thank you very much.
cleared this part of series up so much thanks man!
No kidding, this guy should be getting paid! My school, the University of Texas at Austin, uses his videos for a "flipped" class version of Calculus. This guy is pretty much teaching us, while our teacher just makes us talk to each other in class.
I just noticed you also posted linear algebra videos! That is so great. That's it, I'm subscribing!! :)
thank you your videos are so straight to the point and easy to understand!
No, the limit comparison states that if you take the limit of (a_n)/(b_n) and you get a finite number c greater than 0, then the series a_n does the same thing as the series b_n. In this case, since we know that b_n converges, we know that a_n does the same thing (it also converges).
Thank you so much... its amazing how clear you make this stuff for me.
You're awesome! Understanding sequences and series just in time for my exam today :)
you are so awesome Patrick!
2 more weeks of caluculus left for me! Patrick you made me survive this!! thanks.
thanks for the vids...i have a test on Sequences and Series tomm in Cal 2 and ur videos really help!! keep up the good work
Just learned this today and ONCE AGAIN, you saved my life!
dude, has anyone ever told you that you are friggin' awesome for doing this on youtube? thanks
you are the best
I really understand that lesson after alot of searches
thank you so much! your videos are really helping me pass my calculus II class :)
i have my math final in a few hours along with my chem final. you saved my life, thank you
@anjicedtea you are welcome! i think there are a few videos left out of that playlist though!
try it out and see if it works! i would have to rewatch the video and look at the problem.
there are no hard and fast rules about what to compare a particular series with
I LOVE YOU THANK YOU SO MUCH. Missed this lecture in class and you just saved my ass, thanks again!
thank you so much! great video
these videos saved me so much time! i get it now. you rule.
patrick, you're my new hero.
Agreed. I was lost when you started with the other vid. Thanks
thanks for the kind words Mr. Kingsley!
you've saved my life on multiple occasions. THANK YOU!
Before these videos, I was clueless. Now hours before my midterm, I know more than from going to my 9 am lectures.
Thank you, Sharpie ninja.
Fantastic work
Yo Patrick! My name is Forrest Kingsley and I'm a mathematics instructor. You do a really good job, I love your videos. When I was still a student I used to watch your videos and they helped me a lot!
ohhh thank you so much, you are so good at explaining things!
This was so helpful! Thank you!
thank you so much it helped me
Thanks a lot Mr. PatrickJMT! :)
great review, thanks
I like your videos :D Keep on making some more :D
thank you for making these videos!!
no problem!
Thank you for giving peace about what to do when the bn is smaller :)
I don't understand how ANYONE can dislike this video...PatrickJMT Is frekin amazing
Thank you, very helpful video.
thanks!
Thanx man , you're awesome .
@abthurd it depends on the problem
Wow Thank you very much.... You are great... God Bless you ...
Flying colours from now on
im getting ready to finish up integral calculus and will be taking vector calculus, linear algebra, and differential equations within the next year. PLEEEEASE tell me you will have videos for all classes by then if you dont already! i depend on your videos soo much! and im sure i am not the only one :)
Thanks! You are my God of clarification!
Thank you Prof.Patrick ;)
Thanks for helping to understand
@FaiththeHairstylist typically it seems like most of the time it has something to do with a p-series!
You are AWESOME!
Thanks for your encouraging words! I appreciated them. =)
yes, u could use the same idea to justify that the value of one integral is larger/smaller than another
You are so much better than my Calc professor!!!!!
must subscribe this guy, well explanation !
Thanks man .. awesome video
Best teacher ever :)
Im watching ur video the night before exam and i think its really helpful
you can compare it to anything you wish! so long as you know it converges/diverges, and you get a 'useful' value from the limit
In your playlist, you have the order of your DCT/LCT videos mixed up. This one should come first.
Appreciate the help!
no prob
Thank you very much.
God bless you
you are a great person.
@ferasteddy this is not the test for divergence that i am using.
This is one of the hardest part in all calculus areas.
Angel Escobedo You don't need to be so mean like that. That was absolutely unnecessary.
What
The
thanks for info
Thanks a lot , this helped
Thanks man
I LOVE YOU!!!!!! I wish you were my calculus teacher
THANK U THANK U THANK U,!!! really helpful!!!!!
thank you!
Hey Patrick! Thanks man, this had me confused because i thought if you couldnt do the direct comparison test, then why would you do the limit? Pretty dumb thought i had but thanks! :D
Thank you very very much , now i get it
You are welcome, Patrick. If I may say, your videos are better than those by the Khan academy. Keep up the good work! I currently teach only basic level math but one day when I'm teaching calculus I will tell my students about your videos. You'll get plenty of views and likes.
You are a saviour!
not really.... although my preference is to use the limit comparison, then direct, then integral test; i think LC is easier to use than DC which is easier than IT
I APPRECIATE YOU.
thank you, you're the reason i have a chance to pass calc 2.
i typed in "comparison theorem" and "comparison theorem patrickjmt" was the first suggestion
^_^
The best thing to do is turning on captions and setting video speed to X2 and you can cram even more videos in the night before the test