Every time life gets hard I come here for help, and when I find out that you have not covered that topic, I just want to cry, you are great, may God Bless you for. I also wish you had Accounting.
I've been struggling with binomial series and how to write the general summation terms. But thank to you, I'm more confident with this now. I appreciate your videos so much. Keep up the good work !!!
Around the 14:05 point you state that 5x4x3 is some sort of factorial. But to make it a factorial you need to have 5x4x3x2. Since you want to make the numerator have a 5! you would need to multiply the denominator by 2 also. This is why you need to have 2^(n+4) in the denominator instead of 2^(n+3).
Exactly, I was looking for this comment. The shift from 2^{n+3} to 2^{n+4} follows logically from the fact that the numerator is not 5! but actually 5!/2! which is identical to 5!/2, and thus explains the extra power of 2 in the denominator. Great video though!
Professor Organic Chemistry Tutor, thank you for an outstanding introduction into the classical Binomial Series in Calculus Two. Rational and Square Root Functions can be represented as Power Seies with the aid of the Binomial Series. Practice problems and examples increases my understanding of this material. This is an error free video/lecture on TH-cam TV with the Organic Chemistry Tutor.
From 14:00 to 22:44, instead of just saying that "we are multiplying both top and bottom side of the fraction by 2 to generate a factorial on the top" you made it as confusing as if that was a part of the way people should take for this kind of problems. I appreciate your tutorials, they are so helpful and simple mostly. I think you were tired or not focused enough for this time (which I don't have any problem with it, things happens) but if you could at least pin a comment about this confusion it could be helpful. I wanna thank you for your work, even 6 year from now it still helps. ❤
Thank you so much. Your video is so great. The second example made me a little crazy, but I understood clearly what do you explain? Your explanation is very detailed and easy to understand.
14:35 it won't be (n+2)! as the multiplication ends at 3, there is no '2x1'. So it will be '(n+2)!/2' , although this is later fixed by dividing with 2. This was the mistake that required you to later divide by 2.
i owe him, patrick jmt, and professor leonard + random ass youtubers for helping me survive bio 101 and calc 2 in the span of 10 week and 6 week summer courses. im taking 4 summer courses (2 of them are 10 week (mystery literarture analysis and calc 2) , other 2 are 6 week HIS101, BIO101) and i dont go to class unless attendance is mandatory even then i do homework for other classes while lecturer is speaking and generally im watching organic chemistry tutor because i spend the most amount of time on calc 2. thank you so much man, i got a 101 on my last calc 2 exam, yes 101%, and a 98% on my bio midterm which was the first half of the course in two weeks. i watched some of your videos for my bio exam but gotta thank you more for calculus stuff!
Dang your nuts for taking calc 2 over the summer, that class is one of the hardest for engineer students and a lot of my classmates have dropped out. Props to your effort and TH-cam channels. I am almost done with calc 2 and might pull an A very tough stuff tho
Great tutorial! I have a question though, if the "x" variable in a binomial series were to be raised to a power, say x^3 etc... would that change the method for writing out the sequence? A more specific example would being to use a binomial series to find the MacLaurin series of : (1+x^3)^(1/2).
no because it belongs in the formula. He's just simplifying the fraction. Its positive because 2 negatives multiplied by each other give you a positive.
Great video, what do i do when I'm told to Expand a similar binomial and also state the set of values of 𝑥 for which each expansion is valid. Anyone else can help me with this...
@@CrimsonBlade39what? But is there anything else even timsing the 3? The -2 cancelled because of the other 2 on the bottom meaning the top -3 would of been on its own right?
I dont under stand ur sum notation for sqrt(1-x), like based on it it would seem that 3*5 *....(2n-3) would be part of every term staring from n=2, but 3*5 isnt not part of the term n=2, it doesn't make any sense
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Every time life gets hard I come here for help, and when I find out that you have not covered that topic, I just want to cry, you are great, may God Bless you for. I also wish you had Accounting.
and about how to rizz a girl too
@@와리가리-r3f ..
I've been struggling with binomial series and how to write the general summation terms. But thank to you, I'm more confident with this now. I appreciate your videos so much. Keep up the good work !!!
Around the 14:05 point you state that 5x4x3 is some sort of factorial. But to make it a factorial you need to have 5x4x3x2. Since you want to make the numerator have a 5! you would need to multiply the denominator by 2 also. This is why you need to have 2^(n+4) in the denominator instead of 2^(n+3).
Exactly, I was looking for this comment. The shift from 2^{n+3} to 2^{n+4} follows logically from the fact that the numerator is not 5! but actually 5!/2! which is identical to 5!/2, and thus explains the extra power of 2 in the denominator. Great video though!
yeah in the end he added the 1/2 after evaluating each term, making it 2^(n+4)
@@marcorudyanto1719 thanks mannn
stop disrespecting our god like that he explained that the factorial was incorrect thus thats why he literally showed us how to fix the problem
Professor Organic Chemistry Tutor, thank you for an outstanding introduction into the classical Binomial Series in Calculus Two. Rational and Square Root Functions can be represented as Power Seies with the aid of the Binomial Series. Practice problems and examples increases my understanding of this material. This is an error free video/lecture on TH-cam TV with the Organic Chemistry Tutor.
🥺🥺 I would cry rn u don't know how much u have helped me 😭😭
From 14:00 to 22:44, instead of just saying that "we are multiplying both top and bottom side of the fraction by 2 to generate a factorial on the top" you made it as confusing as if that was a part of the way people should take for this kind of problems.
I appreciate your tutorials, they are so helpful and simple mostly. I think you were tired or not focused enough for this time (which I don't have any problem with it, things happens) but if you could at least pin a comment about this confusion it could be helpful.
I wanna thank you for your work, even 6 year from now it still helps. ❤
Thank you so much. Your video is so great. The second example made me a little crazy, but I understood clearly what do you explain? Your explanation is very detailed and easy to understand.
Come on you have to do a face reveal at some point.
He is basically god
Shut up he sounds hot
What is the problem with his face you have to concern on the knowledge you are getting from him.
His a machine . Lol
He is not machine lol. He is a tutor
14:35 it won't be (n+2)! as the multiplication ends at 3, there is no '2x1'. So it will be '(n+2)!/2' , although this is later fixed by dividing with 2. This was the mistake that required you to later divide by 2.
Thanks! I was wondering if there was a way to stop the factorial from going all the way to 1!
I was wondering why he didn't multiply the LHS as well to maintain equality when he did that step. Thanks for clarifying the mistake he made.
An excellent exposition of the principles of the binomial series with many examples for reinforcement.
Excellent explanation and method of solving these problems. Efficient problem solving. Thank you, JG.
come here for calculus 2 final exam next week. Thank you so much!
Amazing job, the best explanation I've found.
this shit is like fucking arcane black magic when the college lecturer does it but its simple arithmetic and algebra when you do it
I am inpired with how u explain , , the lessons are of great quality and clear. How do u do well in sciences as well as Mathematics ?
My tutor in all my modules am grateful
okay but can we appreciate how relaxing is his voice uwu
yeas
Awesome
What if he wrote a book? Lol
Right
Omg 😂😂😂
i owe him, patrick jmt, and professor leonard + random ass youtubers for helping me survive bio 101 and calc 2 in the span of 10 week and 6 week summer courses. im taking 4 summer courses (2 of them are 10 week (mystery literarture analysis and calc 2) , other 2 are 6 week HIS101, BIO101) and i dont go to class unless attendance is mandatory even then i do homework for other classes while lecturer is speaking and generally im watching organic chemistry tutor because i spend the most amount of time on calc 2. thank you so much man, i got a 101 on my last calc 2 exam, yes 101%, and a 98% on my bio midterm which was the first half of the course in two weeks. i watched some of your videos for my bio exam but gotta thank you more for calculus stuff!
Dang your nuts for taking calc 2 over the summer, that class is one of the hardest for engineer students and a lot of my classmates have dropped out. Props to your effort and TH-cam channels. I am almost done with calc 2 and might pull an A very tough stuff tho
@@WarriorBane Thanks man, i ended up getting the second highest score in the class, it was a grind for sure. got A's in rest of my classes gg
@@beachwave5705 epic, good luck in your studies, you studying engineering too?
@@WarriorBane Hopefully CS,
@@WarriorBane thank u
Can you do integrating and differentiating binomial series?
I like how he pretends to forget so that we realize it is important.
Great tutorial! I have a question though, if the "x" variable in a binomial series were to be raised to a power, say x^3 etc... would that change the method for writing out the sequence? A more specific example would being to use a binomial series to find the MacLaurin series of : (1+x^3)^(1/2).
that would just be the new x the same as x/2
I think you'd have to write it as cube root of 1+ x^3
High class delivering skills
At 42:00 where'd you get the negative 1 from?
did you figure that out? i'm wondering about that as well...
How does -1 come before that? 41:55
I have the same question.
thank you very much. very clear and well illustrated video.
BRO I OWE YOU MY LIFE !! Thank you 🙏🏻
22:40 ... I feel you dude xD.
Legendary tutor.
dude wow bless ur soul
Why just 5 terms though at 2:34?
Boss pls how do you know the number of terms to stop thank you for this content Elaborate and Explicit
I wish I had a tutor like you.
the scientist you do
Great explanation 🔥
You are great bro! Thank you!
42:00 where did he get the -1 from ?
at 27:40 why is n=1 (-1)? it's clearly a positive number...
at 3:04 did he mess up on the 3x^2 should it not be negative?
no because it belongs in the formula. He's just simplifying the fraction. Its positive because 2 negatives multiplied by each other give you a positive.
Great video, what do i do when I'm told to Expand a similar binomial and also state the set
of values of 𝑥 for which each expansion is valid.
Anyone else can help me with this...
well explained..💓👏
One of the problems was straight up bending my mind. I couldnt deal with thay first term being different.
hocam eline sağlık İngilizce anlamada zorlanmama rağmen anladım vallahi kral adamsın
you are amazing ! Masterrr
For the first sum in the beginning of the video ,why did we add 3x^2 and 5x^4 instead of subtracting them??
because two negatives make a positive and its not "we" its him hes the teacher and know more than "us"
@@CrimsonBlade39what? But is there anything else even timsing the 3? The -2 cancelled because of the other 2 on the bottom meaning the top -3 would of been on its own right?
ya senden allah razı olsun math ia mı kurtardın adamsın harbiden
The best 👑
you are such a god damn good teacher
I dont under stand ur sum notation for sqrt(1-x), like based on it it would seem that 3*5 *....(2n-3) would be part of every term staring from n=2, but 3*5 isnt not part of the term n=2, it doesn't make any sense
I have the same question
At least Do A ✋ Hand reveal...!
He wont...
He might be a cyborg I think
You explain everything very Super in all videos , I ain't getting your Sigma notation explanation
you are awesome ❤
in the last example you have (1-x)^(1/2). But the pattern is (1 + X)^m so, the fact that ou have a minus instead of a plus doesen't change things?
No, it doesn't change anything .....u can simply take that negative sign in bracket ....by doing this u have a positive sign outside
At 36:47, I'm a little confused as to how the arithmetic series helps you determine where the series starts?
The pattern of odd numbers starts at n=1 but not n=0. you can even start the series at n=2 if you're willing to.
skip one math lecture and u end up not knowing what's going on lol
great content. keep it up!
Thanks!
Who was your tutor??!
Do you tutor?
Beautiful sigma bruh
Thanks
could I write that [1*2*5*... * (3n-4)] like this (3(n)!-4) ? Interesting !?
하 시바 ㅈㄴ 어렵네 뇌절함 씨앙 thankyou❤️
When are you gonna reveal your face. Love you
Nice work ma nigga. I appreciate do much hommie!
lmfao
20:20
plzzzzzzz reveal ur face i think u r God
hahahahaha
🤣
God's creation* chill with ze idolatry 😬
thanksssss
HOW CAN I START MY OWN CHANNEL LIKE YO
we need a face reveal ughhhhhhh
Is this math 321?
i cry
قسم التعليم...خخخخخخخخخخخخخخخخخخخخخخخخخخخخ
He's not going to reveal his face because he is God.
God is his creator and idolatry is not the move 😬
@@Yo-pn9qp And you're allowed to your opinion. Just like it states in the bible that I am allowed freewill. And I choose to worship him as my God.
Ai shite iru
HI THERE ALLAH
My tutor in all my modules am grateful