Converging and Diverging Sequences Using Limits - Practice Problems

This calculus video tutorial provides a basic introduction into converging and diverging sequences using limits. It explains how to write out the first four terms of a sequence and how to determine if a sequence converges or diverges by finding the limit of a sequence. If the limit exists and it equals to some constant L as n approaches infinity, then the sequence converges. If the limit does not exist or increases or decreases without bound, that is, to positive or negative infinity - then the sequence diverges. This video contains plenty of examples and practice problems of determining if a sequence is convergent or divergent using Lhopital's rule, the squeeze theorem, and properties of logarithms. It contains example problems with trigonometric functions such as sine and cosine, natural logarithms, square root functions, factorials, and exponential functions.
Improper Integrals: • Improper Integrals - C...
Converging & Diverging Sequences:
• Converging and Divergi...
Monotonic & Bounded Sequences:
• Monotonic Sequences an...
Absolute Value Theorem - Sequences:
• Absolute Value Theorem...
Squeeze Theorem - Sequences:
• Squeeze Theorem For Se...
________________________________
Geometric Series & Sequences:
• Geometric Series and G...
Introduction to Series - Convergence:
• Convergence and Diverg...
Divergence Test For Series:
• Divergence Test For Se...
Harmonic Series:
• Harmonic Series
Telescoping Series:
• Telescoping Series
__________________________________
Integral Test For Divergence:
• Calculus 2 - Integral ...
Remainder Estimate - Integral Test:
• Remainder Estimate For...
P-Series:
• P-series
Direct Comparison Test:
• Direct Comparison Test...
Limit Comparison Test:
• Limit Comparison Test
___________________________________
Calculus Final Exam and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 333

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor Жыл бұрын

    Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzread.info/dash/bejne/pnytlbaRnb3WdpM.html

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    @littl3soprano5 жыл бұрын

    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.

  • @zeldasama

    @zeldasama

    5 жыл бұрын

    Which is ironic, organic chem tutor lol

  • @justinwalsh6060

    @justinwalsh6060

    8 ай бұрын

    learning this in pre calc lol

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    @shivnathkachhap2404

    4 ай бұрын

    I am watching it 2hrs before exam😅

  • @mondotrombo7167

    @mondotrombo7167

    2 ай бұрын

    its actually not ironic at all. ANY stem or applied stem besides undergrad general bio requires strong math @@zeldasama

  • @a.n.7761

    @a.n.7761

    11 күн бұрын

    thats calc1

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    @mk3a5 жыл бұрын

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    5 жыл бұрын

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    4 жыл бұрын

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    4 жыл бұрын

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    @gaerteall

    4 жыл бұрын

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    5 жыл бұрын

    lol

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    4 жыл бұрын

    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.

  • @nicholasmaloof8378

    @nicholasmaloof8378

    4 жыл бұрын

    @@theadel8591 I feel like that'll be the case for us, except I bet most of it is going to be power series

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  • @christinejoyjulapong8732
    @christinejoyjulapong87322 жыл бұрын

    I watched several videos explaining convergent and divergent but only this video makes me fully understand the concept. Kudos and thank you

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    @alphaflood14513 жыл бұрын

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    5 жыл бұрын

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    @horrornight8240

    4 жыл бұрын

    Yes it is cause the lim as n>infinity of ln(1+(1/n))/(1/n) is ln(1+0)/(0) which is undefined.

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  • @georgesadler7830
    @georgesadler78308 ай бұрын

    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 KZread TV with the Organic Chemistry Tutor.

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    @LustBug5 ай бұрын

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    @parvathy42222 жыл бұрын

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  • @RA-pu9jo
    @RA-pu9jo3 жыл бұрын

    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

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    @ultimate_top10YT10 ай бұрын

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    @peterandreas49713 жыл бұрын

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    @danielingabire46162 жыл бұрын

    Thank so much

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    @KirikomiMoon3 жыл бұрын

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    @fatimaalfehaid5 жыл бұрын

    GREAT!!❤️

  • @mynameisgrand8937
    @mynameisgrand89372 ай бұрын

    At 4:30 why do you multiply the top and bottom by 1/n? How do I recognize when to use this?

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    @anderuvivian Жыл бұрын

    This is really helpful , thanks though

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    @spandanshakya8031 Жыл бұрын

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  • @ermiastadesse7042
    @ermiastadesse70423 жыл бұрын

    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.

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    @dumoraru2 жыл бұрын

    Watching this 20 minutes before my final

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    @asila93273 жыл бұрын

    last one was amazing

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    @user-ue8sr1wp4h3 жыл бұрын

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    @arvind36563 жыл бұрын

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  • @mansafabrar6872
    @mansafabrar68722 жыл бұрын

    Will give u a good idea about convergence nd divergence. But formaly the idea of Convergence nd divergence is different.