Calculus 2: Series (Section 11.2) | Math with Professor V
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- เผยแพร่เมื่อ 30 ก.ย. 2024
- Introduction to infinite series, sequence of partial sums, determining convergence or divergence of telescoping and geometric series; test for divergence and other theorems.
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I had to miss a university lecture on Series since one of my family members caught Covid... luckily, this vid as well as the rest of the Calc 2 series covers material from the same textbook we're using in class, so I just watched this video instead. TY Prof V!
PS. I love your vids (I've been using them as preview for my lectures lol)
You’re so welcome! Happy to help! 🥰🙌🏻
I apologize if i missed it but is it a certain rule that we do i = n-2 and i =n-1 or is it based on what we have left after cancelling, because in that case in the second telescoping example only ln(1) won't cancel so shouldn't it be only i = n-1?
how do you see which terms are going to cancel ahead of time
this is better than my t10 universities sequences and series course. lol my class at college is so ass
🙏🏻🙏🏻🙏🏻🥰
Great video!! Thank you so much
For the last example, why did you take the constants 3 and 2 to the outside if theorem 3 says that's only possible if both series are convergent, but we didn't prove their convergence yet? And later, it is proven that the series of 2/n is actually divergent?
Great question! That property also holds for divergent series-if you multiply or divide by a nonzero constant, a divergent series will still diverge.
@@mathwithprofessorv Thank you!
I really enjoy your integral of the day problems. Is there any chance of getting a "series of the day" ?
Funny you should ask, I just answered that question in my latest episode of “Ask Professor V”! The answer is YES! 🙌🏻 I just started teaching my summer classes this week so my free time is limited to work on it, but stay tuned! ☺️
Your work is amazing and follows my curriculum very precisely. I wish you nothing but the best in life professor V.
Thank you! Same to you! 🥹🥹🥹🫶🏻🫶🏻🫶🏻
Plzz pin the full playlist plz🙂,, of this series how much videoes u have?
I have all of them!
Calculus 2 Video Lectures
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in b) 3^n / 3^(n+1) question, it is convergent 00:24:23 but if we see from theorem that you taught directly after it 00:25:45 , as its convergent than limt of a(n) when n approaches infinty should be 0 but it is 1
And lastly love your vids (just started watching now)
Better than Bilkent
Thank you! Really works on me! ♥️♥️♥️
So happy to help! ☺️
Thank you!
You’re so welcome!
THANK YOU SO MUCH!
Thanks for this!
I am a non-English follower and my language is somewhat not strong, but every part of this clip was very understandable and clear. There are really no words to express my thanks and respect for the most wonderful teacher. 🤍🤍
I can’t thank you enough for your lovely comment, it warmed my heart! I appreciate you more than you know. 💕💕 Wishing you lots of success, health, and happiness! Xoxo, Professor V