Convergence and Divergence - Introduction to Series

This calculus 2 video tutorial provides a basic introduction into series. It explains how to determine the convergence and divergence of a series. It explains the difference between a sequence and a series. This video includes examples and practice problems with geometric series, harmonic series, and the telescoping series. It also discusses the divergence test.

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[BigCatSoftware]

You helped me pass Calc II in 8 weeks this summer with a 90 on my final and a 90 as my grade. I got a 96 in Calc I before that with your help. Now I have Calc III this fall and I’m thinking I’m gonna be doing better than this past summer. Thank you so much OCT!

[tommydennen]

God I wish all teachers could make content as confident and straightforward as you are able to do. thank you!

[EldenEngineer]

A lot of my early confusion with this section of calc 2 is just vocab and over complicated notation. Thanks for helping me get that stuff straight. It starts to make sense with time and rewatching these videos.

[Altair]

Knowing the difference between series and sequence is crucial

[sticraft]

This is the most important and clarifying point I believe, at 13:05 when you state that the sequence converges, but the series diverges. Thank you for these videos and explanations.

[georgesadler]

Professor Organic Chemistry Tutor, thank you once again for another fantastic video/lecture on Convergence and Divergence of a Series in Calculus Two. This is a large topic in Calculus and students will have problems with understanding these concepts. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

[yashifornow]

Ohh my goddd just finished this topic in college and needed this so much😭😁😁😁

[ProfessionalGasLighting]

I love all your videos! I would definitely love to see more of these Calc and Calc 2 videos! I’m currently in Calc 2 and seeing how you work through different examples definitely helps me learn how to apply those thought processes to my own problems! But I definitely need more series and sequence videos! Even if they’re just working through more complicated examples so I know how to use the limit comparison test to a p series and how to know which test to use etc!

[chrisp]

Finishing Calc 2 right now and your videos have helped so much. I especially appreciate the emphasis on the difference between the finite sequence and the infinite series in the last couple problems.

[xadanmi-llion]

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[krupt]

Shame on the guy who disliked in the first 30 seconds

[MichaelHoughton]

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[andrewmorrissy]

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[batataT]

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[declancampbell]

Perfect timing as I needed to review these

[TomTomtsis]

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[_bit]

i go to berkeley and half the class learns from this dude instead of the lecturers 💀

[zerinfaaruqui]

The topics became easy when you teach ..So please make video related to line integral and Green's Theorem. Thank youu.

[prabhanjanbag]

So many years back, I studied it in my college days. For Maths. lovers it is interesting. But I found it is equally interesting even for a layman for the way you are teaching. Thank you for explaining the basic concept of limit and infinity in a simple way.

[lybittaye]

Best presentations in mathematics ever 'no joke', great videos, keep it up sir...