Calculus 2: Taylor & Maclaurin Series Part 2/Binomial Series (Section 11.10) | Math with Professor V

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great videos, gives off a middle school teacher vibe but with the technicality of college professor! makes me excited to learn again.

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You're helping a lot of people out, thank you so much!!! Keep up the good work, you're really doing a great job :)

[@mathwithprofessorv]

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I wish I'd found you earlier Prof V! My professor isn't great so I've been teaching myself at home with just the textbook and it's rough. I found your channel and it's been a massive help. Will definitely be following along with you next sem for calc 3!

[@mathwithprofessorv]

Ohhhhh I’m so happy you were able to find my channel Emma! It can be so frustrating when your teacher doesn’t explain properly and there’s no one you can turn to easily. I wish you lots of success this semester and I’m happy to be able to help you with the rest of your math journey in Calc 3! ☺️☺️👍🏻

[@dwadedwade2301]

it's a great class. have long time that doesn't brainstorm like this moment

[@minhtamnguyen8733]

Great explanation and so easy to understand. Hope after binge-watching many of your videos I can get good marks in the Final Calculus 1.

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Your videos are a lifesaver is Calc 2. Thank you!

[@mathwithprofessorv]

Oh my goodness, you are most welcome! ☺️☺️🥰

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Thanks alot ma'am Really well explained Im surprised why you have very few views/subscribers You deserve alot!!

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[@brayanmorales9482]

I was stuck doing my review for my final doing binomial series and then I found this video that helped me a lot. Great video!!!

[@mathwithprofessorv]

Thanks!!! Happy to help! I also have final exam review videos for Calc 2 on my channel (four parts total). Good luck! 🍀😊👍🏻

[@CanDoSo_org]

Great tutorial. Thanks, professor.

[@mathwithprofessorv]

You are welcome!

[@somethingthatexists4797]

thank you so much this is a massive help!

[@mathwithprofessorv]

Glad it helped! 🙏🏻🙏🏻🤗

[@persianmela5647]

Hi professor V, I don’t get why you multiply the denominator by 6?

[@jdums8534]

in the first question, to multiply by 6, because it requires to maintain the fraction value not changed, since the numerator times by (1*2*3)

[@innocentchawanjerani6875]

How is 5\2 coming up?

[@logangarten8880]

At 27:21 when you when from n=0 to n=1, I thought you were supposed to shift the all of the terms with n in them. For example, in this case, after shifting from n = 0 to n = 1, I thought you would have to shift all of the n terms in the series by decreasing them by 1.

[@mathwithprofessorv]

So we aren’t shifting the index at this step-just simplifying the expression. Notice if n=0, then the first term of our sum is -1/2, which cancels with the 1/2 outside of the sum. So in the next line we can start our sum at 1, instead of 0, and cancel out the 1/2.

[@logangarten8880]

@@mathwithprofessorv Oh that makes sense, thanks for the quick reply!

[@battlesam1018]

Hi Professor V, I want to ask questions after example 2, what makes us express the f(x) in the form of (1+x)^(k), instead of expressing it into (1)/(1-x)? Aren't they both power series expressions but why different methods are needed? Hope you can answer my question, thanks~

[@mathwithprofessorv]

It really just depends on the context of the problem, if k is not an integer then it may be easier to work with the function as a binomial series instead, but a lot of the times both methods will work!