Ratio Test

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This calculus 2 video tutorial provides a basic introduction into the ratio test. Examples include the ratio test with factorials, exponents, fractions, and square roots. If the limit of the ratio of next term with the previous is less than 1, the series converges. If it's more than 1, the series divergence. If the limit equals 1, the ratio test is inconclusive.

Integral Test For Divergence:

Remainder Estimate - Integral Test:

P-Series:

Direct Comparison Test:

Limit Comparison Test:

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Alternating Series Test:

Alternate Series Estimation Theorem:

Absolute & Conditional Convergence:

The Ratio Test:

The Root Test:

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Series Tests - Practice Problems:

Taylor & Maclaurin Polynomials:

Taylor's Remainder Theorem:

Power Series - Interval Convergence:

Power Series - Derivatives & Integrals:

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Calculus Final Exam and Video Playlists:

Full-Length Videos and Worksheets:
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angeloid_
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AyakaSori
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justinjohn
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To be able to passs this section for chapter 11 calc 2
*know all the types of tests
*know when is the test applicable
*know the conditions of the test
*familiarize yourself with some examples of each test from easy to challenging level

Believe in yourself!❤

pinkroseeee
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Just want to say a big thank you to The Organic Chemistry Tutor. I think this repetition style of learning is key in getting the concepts. I am learning Linear Algebra and Calculus at Uni (these are not even the advanced courses) and it is all abstract, dry and mainly focusing on definitions and theorems with very little examples.

I think that maybe because the Lecturers know this kind of stuff back to front, they probably make it harder than they might realise. Some people might understand from abstract but I learn from concrete examples and I love examples where I can practice the method

adam
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tannerbarcelos
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leoxu
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Wishing everyone a good Calc 2 final grade

edinh
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imrgohard
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These videos are 4 years old at this point but still very helpful! Thank you for showing all the steps!

lburger
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abeermohamed
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I wish I found this channel sooner than 3 hours before my exam

matthewnorris
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mathwithnour
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These 'series' of videos (pun intended) saved my semester lmao

anthonywu
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Thanks so much! I was looking for help all yesterday cause I wasn't getting factorials and I was having a rough time on this chapter. This is one of the more helpful videos I found. Summer classes suck! Definitely feel better about my test next week now.

blakkermambaa
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Professor Organic Chemistry Tutor, thank you for another fantastic video/lecture on the classic Ratio Test in Calculus Two. This is not a difficult test to breakdown; however, the algebra could be problematic for all Calculus students. Algebra is important in all levels of Mathematics. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

georgesadler
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The factorial part was what always got me lost, glad to know there's a way to work with them.

Lexyvil
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nozzerjuice
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What a wonderful set of examples! Thanks for this, great video!

varunraju
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