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...
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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
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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
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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
5 жыл бұрын
Which is ironic, organic chem tutor lol
@justinwalsh6060
8 ай бұрын
learning this in pre calc lol
@shivnathkachhap2404
4 ай бұрын
I am watching it 2hrs before exam😅
@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
11 күн бұрын
thats calc1
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Watching this 12 hours before my final
@yusufcaglar99
5 жыл бұрын
same
@TheV2ng
4 жыл бұрын
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@dez7800
4 жыл бұрын
3 days b4 my midterm, all goooood
@gaerteall
4 жыл бұрын
exactly the same here
@Astra20284
4 жыл бұрын
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@tiegomanson359
5 жыл бұрын
lol
@theadel8591
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
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
@marcusadrianbalinas7625
4 жыл бұрын
No wayyyyyy
@thevote4816
3 жыл бұрын
bruh we learned this in 2 days
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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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@jgc9199
5 жыл бұрын
Same here
@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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2 жыл бұрын
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@user-mw1in4iw3l
9 ай бұрын
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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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5 жыл бұрын
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@dennis6975
2 жыл бұрын
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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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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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Will give u a good idea about convergence nd divergence. But formaly the idea of Convergence nd divergence is different.