Power Series - Finding The Radius & Interval of Convergence - Calculus 2
ฝัง
- เผยแพร่เมื่อ 31 มี.ค. 2018
- This calculus video tutorial provides a basic introduction into power series. it explains how to find the radius of convergence and the interval of convergence of a power series using the ratio test. If the limit of the ratio test is zero, the power series converges for all x values. If the limit is infinity, the power series converges only when x equals c such that the power series is centered at c. If the limit equals an absolute value expression based on x, the interval of convergence will have a finite range. This video provides a plot of the interval of convergence on a number line so you can see how it relates to the radius of convergence. In addition, you must check the endpoints for the interval of convergence using the original power series expressed in sigma notation. This video contains plenty of examples and practice problems.
Series Tests - Practice Problems:
• Calculus 2 - Geometric...
Taylor & Maclaurin Polynomials:
• Taylor Polynomials & M...
Taylor's Remainder Theorem:
• Taylor's Remainder The...
Power Series - Interval Convergence:
• Power Series - Finding...
Power Series - Derivatives & Integrals:
• Power Series - Differe...
___________________________________
Power Series - Function Representation:
• Power Series - Represe...
Finding The Power Series:
• Finding Power Series B...
Power Series - Representation By Integration:
• Power Series Represent...
Power Series - Representation By Natural Logs:
• Power Series Represent...
Taylor & Maclaurin Series:
• Taylor Series and Macl...
Binomial Series:
• Binomial Series
____________________________________
Parametric Equations:
• Parametric Equations I...
Calculus Final Exam and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections
![อาจารย์ยอด : สวยกินคน [ผี]](http://i.ytimg.com/vi/_-TIJOwkRA4/mqdefault.jpg)
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: th-cam.com/video/nD6hai32ykQ/w-d-xo.html
Thank you for your service bud
why not distribute 9 in the denominator to n + 1? 41:26
There's a special place in heaven for people like you
couldnt agree more ..tahahaha
soooooo true ,,
There's a special place in heaven for HIM
100% true
موسليمز اونلي
I think organic chemistry tutor should get some percentage of what we pay to the school. He's the one!! real hero
I agree...honestly, my professor teaches me nothing
Yeonjoong Kim my professor is a trash😨
@@krantipaudyal I prefer him to be my professor
Yeonjoong Kim actually professor of many subjects😁😂
I can't understand anything my professor is doing, but this cleared everything up.
Wow man. I don't know what to say. You cant imagine how many students you have helped so far. You need an offer from like Khan Academy or a prestigious university without even applying lol. You are a good guy mate. Just remember that
Definitely. Khans Academy doesn't have much on these topics and I was stumped before I found these.
nooooooooooo, The organic chem tutor > khan academy
@@alialshubbar6988 they produce something without want anything , so this comperison isn't moral , ı think
They don't deserve him!
You should also check out Doctrina math videos. m.th-cam.com/users/DoctrinaMathVideos
What we would do without you? My calculus 1 exam was 31%, then I just started learning and with the help of your videos got 89%! I owe you this score.
i watch the ads just to support you
thanks
mad lad
Yooo thanks for the idea. Just disabled my adblocker for all videos from The Organic Chemistry Tutor. My man deserves it.
I can’t even describe how grateful I am for your work. Literally saved me from a mental breakdown before my calculus II test.
I shouldn't have to pay thousands for a shit professor to teach nothing while you can explain it in under an hour for free. God bless you
Yeah. Im almost done learning everything before i go to college. Im just gonna breeze through an online degree and probs still be faster if you include the time i spent outside of college studying.
same
I disagree. College prepares you for much more than this, and also makes you retain what you learn by practicing it. On the other hand, If you can turn your textbook into a class, go ahead. People do it. You might be able to test out of it.
@@kameronbriggs235 Hello, how did your plan go?
Your explanations are very articulate, and you explain the algebra along with the calculus very well. It is also great that you explain the fundamentals, then give many examples with varying difficulty levels. I usually don't comment on youtube videos very much, but your content is so helpful, and your videos are well thought-out.
I was about to have a breakdown, I have an exam tomorrow. I was looking for explanations everywhere, in all 3 languages I speak, I understood none of them, then I found Your channel and everything has been cleared in my head. THANK YOU!! The way you teach is incredible, I genuinely love it!
I genuinely do not know where I would be without this guy. Probably would've given up on my engineering degree. Love you man
this guy's back must be so strong to carry millions through school
"You have 49 minutes 37 seconds before your math final"
me:
XD true
this is what im doing now xd
@@blissnotes3477 thats what im doing now too lmao
Not the one second deducted to enter the exam itself 😭
I go to my calc II class for a basic understanding (I actually have a good teacher), then watch the topics again with Organic Chemistry Tutor to have it really sink in. This guy is great. I actually watch the ads for this guy, hoping he will get something.
You are simply born to teach. Very amazing teacher. No words to express your way of lecturing. Just simply thank you for your great contribution.
Thank you so much for all the things that you have taught me. Without you, I would be lost in both physics and math. I really appreciate you giving us folks free knowledge and may God bless your soul for all the good you're doing, sir. Thanks again!
6hrs to go for my final my exam
The Organic Chemistry Tutor
you are the best!!!
#RespectFromSouthAfrca
I'm watching this while taking my final exam online. No kidding...
If Pitt cared about fairness and doing the right thing, they would give you about 80% of my tuition (a loooooot of $$$). I'm only about a year and a half into my degree and probably about 80% of everything I've learned in that time, I learned from this TH-cam channel.
You literally almost have me in tears. You're a really good teacher, thank you man.
Cant see the need for collage when you have people like this explaining everything to you, including the universities that upload their lectures where you can learn the proof of the math. You are my professor, keep it up, make an initiative so we can support you more. Much love
Why did I even go to calc 2 lecture this is so much better
ngl, I have online classes right now cuz of COVID-19, and all I am doing is typing the lecture topics into google, looking for organic chemistry tutor, and then watching the videos during class
I know this is 2 years later but honestly, thank you so much for doing all these tutorial videos. Not only are they easier to understand than any course lecturer that I have ever encountered, the videos are also engaging in every aspect. Genuinely, thank you so much.
I was ready to sob my eyeballs out because our professor refuses to teach us properly… you are an angel sent from heaven thank you sir.
you have saved my life, organic chemistry god
Honestly one of the best explanations I've seen, When my calc 2 professor explained this i didn't understand what he was talking about but the way you did it and the explanations of the steps and what everything means is super helpful
the anything tutor
Seriously tho! 😂
I've got 3 more full semesters after this one and I'm gonna keep watching these videos the whole time.
I always look out for you on every Calculus topic because I know you have clearer, much more understandable explanations than any other resource! I LOVE YOU MAN!!!!!! 🥰🥰🥰
6:47 is very crucial. Refer to it when stuck. Great video as always!
this comment section is probably the most wholesome place ive seen on the internet, and for good reason! i missed the lecture on this unit and i was absolutely stumped reading through the textbook, but this video (so far, havent finished it yet) is helping so much! thank you for making these, you're single-handedly saving my calc 2 grade!
You really are the best, your method of teaching and explaining concepts is remarkable. You're an amazing individual and I really do hope you do get whatever it is that you wish for in life. I truly am grateful for your work, thank you sir!
I wish I could meet this guy in person and thank him for the numerous times he's saved my grades from tanking🤣. Great video!
Oh god. Finals are tomorrow. Wish me luck mama
Yeewww Tube me too, I pulled an all-nighter on TH-cam
@@TheNinthGenerarion lmao same
Jared Shattuck welcome to uni
Yeah i also have finals tomorrow😣
@Siege Player aye me too lol
You are awesome. I have not taken Calc II in more than 15 years. Thank you so much for the refresher. I am taking Calc III this Fall and plan on getting a Bachelor's Degree in Electrical Engineering.
W
how'd it go???
@@leonelisaacflores I got an A.
@@cubby091398awesome!!!! how is the degree going?
@@cubby091398 i think he meant the degree lol. good luck in whatever if it didnot work out tho
I was waiting for these new series and you uploaded them right before my final exam! YOU ARE GREAT!
I love how he always explains the fundamentals again in his videos. Especially in really broad classes, it's so easy to forget some of the things you learned early in the year, and that tiny refresher can save so much review time.
Your videos are amazing. They helped me survive series and sequences in my calc 2 class. Thank You sir
I will graduate from you channel lol. Amazing content, thank you.
I don't know what I would do without you and your videos . You are one of a kind !
im only 5 minutes in and i've already learned more than i did with a few hours of my textbook. this is magical!
there are no words to appreciate your patients and understandable lectures. God bless sir
all I have to say is no words can describe how greatful I am. we genuinely appreciate your effort
Prepping for exams and I gotta say this was the best study session! Thank you
You're the legend! And always shall be in the millions of lives of students you've saved their grades and made to love math! Thanks, man! Thank you!!!!
thank you for carrying me thru calc 2, you're awesome!
the amount of videos ive watched of this guy all through college, this guy prolly moves in bread
dude you are a legend, I hate these professors that don't teach anything just because we are online. Covid calculus is awful.
You, my friend, are a absolute god-send
You the professor i always wished to have . God bless you
This man is making sure that I pass my engineering in easiest way possible.
Love you man❤️
Man, you explain much better than a textbook. Infinite likes! Thank you
i literally watch all your videos, thank god for someone like you.
I love you, you're truly the best TT I wouldn't survive calc or any other subjects without you. Thank you SO much for all the free content you make
this is the most helpful video ive ever watched. i was so confused in my math class and have a test and this is the best thing i could have watched. You rock
Anyone else watching this hours before your final? This man saves lives.
I promise to donate after i graduate cuz this guy needs recognition
thank you sir, truly, in a world where we have to pay for our education, only to have a professor make you self teach yourself, you truly are aa life saver for people and there GPA's, and for people going to community, with an engineering major, we have to have high GPA's to get into UNI, anyways thank you, you have made my college math career a lot less stressful. Plus you explain things so well. God bless you sir in all your endeavors in life! AN i pray the lord Jesus Christ blesses you with prosperity. Glory to god that there are people like you, helping people with education for free
Thank you so much, I'm learning uniform continuity and convergence and this helps so much with the radius of convergence
finishing this up 10 mins before my test that I did not do any hw for or study for except watch this man's beautiful videos and I am feeling good, will probably pull a low B which is so much more than I could've asked for, so thank you my guy
Great explanations, in one day went from confused to fully grasping these few videos thank you
I hear this mans voice more often than my family members and i aint complaining
we need more like you in this world. God bless
Idk wtf for I paid to my college when I am getting all my concepts cleared by watching your videos. Thank you so much.
thank you for doing these videos to help others! God bless you!
You have a power to solve any problem in mathematics ❤❤❤
I don't have words to explain
how helpful it was for me...!!! Thank You. 😇✌
Glad I found this video. You made everything so clear and simple.
24:08 just wondering but isn't the denominator suppose to be (2n+1) on the bottom right?
He made a mistake! But you are right, it is supposed to be (2n+1)
Dat will not affect the answer
Yes, the good thing is it will not affect the answer, but yes, you are right.
came here to find this and make sure I wasn't loosing my mind
Thankyou so much for this.... I have exams now and ofcourse my teacher's said that it's not our fault you couldn't attend the classes if you were working... We did our part.. You are a lifesaver ✌
You are awesome! I recommend you to all my friends.
Great video, you always have a good unique variety of problems. Khan should hire this guy.
you are currently getting me through my math major i love you
I should be paying him tuition at this point 😭
Aha! Thank you for making sense of R and I! I finally had a lightbulb moment when you plotted it out, your videos are very helpful as always
Thank you so much for this! I have a quiz in 2 hours and needed to learn this topic :D
This video has helped me out tremendously. Thank you so much.
You do such an awesome job, thanks for getting me through college!
Thank you so so so much! This video was so much more helpful than my profs lectures are!
You da best man! Just because of you i really dont have to worry about attending my math classes anymore. I just go for the exams now. Thanks man!
literally the only thing keeping my grades up in college for both math and chem is the tutor, thank you!
I am from Ethiopia me and my friend use this channel. It help us more than I can express thank you!!
l am also from ethiopia
you make everything really easy. I love you tutorials
Thank you very much,all the way from South Africa..God bless
I'm crying, I understood so much from you compared to my professors
Hello Sir, You are just amazing, I really liked your videos. They are very helpful for me in studies.These videos cleared all concepts.
initially i was not understanding well.but i love the end with examples.thank you very much
I can’t thank you enough. For context, the math department of our university makes pandemic lecture videos available for public, but for most of the videos, the instructor just reads from the slides without explaining anything.
god bless you iwasLITERALLY CRYING IN TEARS trying to read the textbook before you
you are a true legend, GOD BLESS YOU
you have no idea how many lives you are saving. Thank you so much
Thank you so much! I am in my first year of college, and this has really helped me understand the concept with ease :)
Good . You showed that the series expansion of e^x converges for all x . I was searching for that à long time
thank you organic chemistry tutor, i really hope you'll go to heaven. i love you so much, words can express my gratitude for your existence!!!💜💜💜 i always feel like a burden towards my friends who are math geniuses. i feel like i take up alot of their time whenever i ask questions because i am so slow, and can't understand maths easily. but thanks to you, posting these videos voluntarily, it helped me alot. at least i can ask my friends less than usual, and hopefully they'll have more time to focus on their lives & improving themselves without being bothered by me!!
I'm about to finish my semester. Thank you so much for breaking down calculus 2 in a way that's actually easy to understand. I was struggling in High school calculus until I started watching your videos in the end and just barely passed AP Calc. Going into Calculus 2 I was very uneasy and now I'm here passing with a 92. Thank you from the bottom of my heart for making math understandable again. Before I would have to go to tutoring or waste hours studying, and now I just go to this channel whenever I need to learn something chemistry, math, physics, or engineering related.
Best explanation than my online lecture LOL , you deserve a Like !
you have saved my life thank u for ur infinite kindness
God bless your heart! Saving me during summer classes!!!
good explaination with simple calculations, nice job the organic chemistry
You’re the best math teacher by all accounts
i really adore the way you teach, thank you so much