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I remember watching your videos before the January 2020 algebra regents exams and they have helped me a ton. You are one of the main reasons why I passed. My teachers would never explain things to me the way you do. You make everything seem like a piece of cake compared to my teachers. Just wanted to give you a big thanks.
Followed u for a long time now, thank you for helping my calculus, my Ap physics, my chemistry 12. And now even helping me when I am in uni now. You are a true lad, and deserve the sub. Thank you again for helping me get into Imperial college.
You're amazing and I love you. Thank you so much for everything you do!!!!! I have used you for Organic Chemistry, Calculus 1, Calculus 2, Physics 1, and Physics 2.
Professor Organic Chemistry Tutor, thank you for using multiple well-known examples to explain/analyze Converging and Diverging Sequences in Calculus Two. In all Calculus textbooks, there is a whole chapter on Sequences and Series. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.
I have been stuck on Sequences and Series for three days now. I don’t understand it, but your videos cleared it up a bit. I really hope the next bit of your videos help because I don’t have any other ideas.
for anyone else scratching there head at this! plugging in inf into (1+1/n)^n = (1+1/inf)^inf = (1+0)^inf = (1)^inf = 1^inf = undefined this is why we had to solve it
why do u use l'hopital rule insted of just substitute infinity in the equation lim n-> infinity n * sin(1/n)??? and all your video are just unreal. u made life easy for us.
@@FerghusCameron Just to take the n to an easier place. This can be solved by many ways, and you can keep the n and evaluate it to find the answer (if it's converging or diverging) but dividing by 1/n takes the n to 5/n which leads to the final answer easily (because of the rule 1/n=0).
@@FerghusCameronif you took the limit as n approaches infinity, you’d end up with infinity over infinity. By multiplying by the numerator and denominator by 1/n, you are able solve. Another method of solving for the infinity/infinity problem is applying L’Hopital’s Rule, which would also give you the same answer and is more applicable in vague situations where multiplying by 1/n isn’t available or intuitive.
why would you add the last step at 22:15? 1/(n+2) is just 1/infinity which is zero. Absolutely no need to multiply top and bottom to get the zero in the numerator
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: ruclips.net/video/tHy3TXmZpF0/видео.html
You literally have the best Calc II tutorials. It’s great learning material for everything in the course. You have a good knack for explaining things.
Which is ironic, organic chem tutor lol
learning this in pre calc lol
I am watching it 2hrs before exam😅
its actually not ironic at all. ANY stem or applied stem besides undergrad general bio requires strong math @@zeldasama
thats calc1
I remember watching your videos before the January 2020 algebra regents exams and they have helped me a ton. You are one of the main reasons why I passed. My teachers would never explain things to me the way you do. You make everything seem like a piece of cake compared to my teachers. Just wanted to give you a big thanks.
you are the reason why I excel in my math and chem classes
thank youuu
in 30 minutes you explained half semester course
lol
Nursultan Beloved this is only the first section in the first chapter in my course and at most only one question will come on it in the test.
@@theadel8591 I feel like that'll be the case for us, except I bet most of it is going to be power series
No wayyyyyy
bruh we learned this in 2 days
Followed u for a long time now, thank you for helping my calculus, my Ap physics, my chemistry 12. And now even helping me when I am in uni now. You are a true lad, and deserve the sub. Thank you again for helping me get into Imperial college.
I watched several videos explaining convergent and divergent but only this video makes me fully understand the concept. Kudos and thank you
Salute! You just made our lesson more understandable especially that you provided lots of examples in different cases. Thanks a lot Sir!
May God bless you.You have always been my best teacher on RUclips tutorials
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Love this man, saved my A in calc 2 twice now
for the first five minutes, I suddenly knew how this concept works, thanks a lot
love your style of teaching and your voice, thank you for saving my life
You and professor Leonard are the only thing having me pass my math classes, thank you
Professor Superman is a real one
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You're amazing and I love you. Thank you so much for everything you do!!!!! I have used you for Organic Chemistry, Calculus 1, Calculus 2, Physics 1, and Physics 2.
Watching this 12 hours before my final
same
@@yusufcaglar99 brom
3 days b4 my midterm, all goooood
exactly the same here
You are legend bro.
Professor Organic Chemistry Tutor, thank you for using multiple well-known examples to explain/analyze Converging and Diverging Sequences in Calculus Two. In all Calculus textbooks, there is a whole chapter on Sequences and Series. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.
you're making it really fun to learn math and really well made course
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anything I need ... I found them here , at your channel …. so i need to say that your incredible , amazing and super intelligent ,thank you
He is much better than some intelligent professors at the colleges in the way he explains materials.
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God bless you my dear best teacher ever met
I have been stuck on Sequences and Series for three days now. I don’t understand it, but your videos cleared it up a bit. I really hope the next bit of your videos help because I don’t have any other ideas.
He is on another level, literally !!!
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Same here
Yes it is cause the lim as n>infinity of ln(1+(1/n))/(1/n) is ln(1+0)/(0) which is undefined.
Thanks a lot ..it made my concepts clear...love from India
Thank you very much Mr. JG for your sacrifice. May God bless you very much
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Thanks for the vids! I watch them before every quiz/test. Thanks for helping my career!
for anyone else scratching there head at this!
plugging in inf into (1+1/n)^n = (1+1/inf)^inf = (1+0)^inf = (1)^inf = 1^inf = undefined
this is why we had to solve it
It's much more better than my teacher's explanation thank u
Much thanks for the tutorial ❤❤❤❤
you are the reason I understand calc 2. thank you
Thanks! Your lessons are really clear for learning!
This is very explanatory. Thanks!
why do u use l'hopital rule insted of just substitute infinity in the equation lim n-> infinity n * sin(1/n)???
and all your video are just unreal. u made life easy for us.
Thank you for your tutorials, this really is one of the best channels on RUclips
This is called crystal clear.... ❤️❤️❤️❤️❤️
Will give u a good idea about convergence nd divergence.
But formaly the idea of Convergence nd divergence is different.
The best tutorials on youtube. Has anyone ever mentioned you sound like Mark Wahlberg?
You a great teacher I ever see please continue and do more complex examples thank you for teaching as !!!!!!!!!!!!!!!
thank you so much sir, a lots of love and best wishes for you... your explanation way is great
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Just came to say I got 100/100 in my Calculs 2 final exams and 90 cumulative..thank you so much🙏
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Organic Chem tutor ❤
Prof Leonard ❤️
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The best series I ever watch
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At 4:30 why do you multiply the top and bottom by 1/n? How do I recognize when to use this?
Did you find out the reason? I just started Pre calculus and would like to know thr proof for multiplying the top and bottom by 1/2
@@FerghusCameron
Just to take the n to an easier place. This can be solved by many ways, and you can keep the n and evaluate it to find the answer (if it's converging or diverging) but dividing by 1/n takes the n to 5/n which leads to the final answer easily (because of the rule 1/n=0).
@@FerghusCameronif you took the limit as n approaches infinity, you’d end up with infinity over infinity. By multiplying by the numerator and denominator by 1/n, you are able solve. Another method of solving for the infinity/infinity problem is applying L’Hopital’s Rule, which would also give you the same answer and is more applicable in vague situations where multiplying by 1/n isn’t available or intuitive.
Your videos are great! Thank you. I wonder if someone could help me understand why there is a vertical asymptote at 5/3? Confused!!!
This video was very interesting and helpful and very well explained...!!
Thank you so much!
Good job sir
Exam in two hours. Thanks to you, I'll probably do a little better than 60%!
Should not we apply stolz-cesara instead of l’hospital when dealing with sequences? Please explain!
多謝！
Thanks man, continue with these amazing videos, you help a lot of students education!!!
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dhanyavad(thank you)
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You are a god among men.
What should you do if it goes to 0 with infinity but its limit for negative infinity is infinite? Does it till converge?
Great tutorial
why would you add the last step at 22:15? 1/(n+2) is just 1/infinity which is zero. Absolutely no need to multiply top and bottom to get the zero in the numerator
thanks i love ur videos so much
youtube, kindly pay him huge amount on our behave. He is really doing a great job
Thank you so much, this helps a lot!
Payin 6k tuition fee so that i can learn from your videos
Great explanation 👍
This is really helpful , thanks though
Thank you so much man you’re the best!
life saver thank you so much
Sir i am not able to draw graph which u drawing in this lecture
Which video can help to drawing graph
Wait so at 22:55 why do you multiply by 1/n instead of just evaluating the limit there??
I think so,Sir if limit value is zero, then it may be convergent or may not be convergent.plz clarify it sir
7:10 even though it seems counter-intuitive it is technically a continuous function given the ε-δ definition of continuous functions.
thank you. very helpful
For people who didn't get horizontal asymptote, find x in terms of y..
you are a great help thanks
Thank You Soo Much!♥️Was very useful!
i love this RUclips channel .
for the question at 13:44 couldn't you just simplify sin(n)/n to 1? Is that an identity that can be used?
My question for the last one is if your able to use the square root test
SOMEONE PLEASE RESPOND!!!
Why do we use L'Hopital's rule on n*sin(1/n). Why not just substitute???
as for the case lim as n approaches ∞ of sin(n), why don't we apply lim as n approaches ∞ of |sin(n)|?
Can we also prove by definition of the converging sequence?
How do you know when to use l'hostital and when to use squeeze theorem?
Well done hussy!