Wrath of Math | Proof of the Divergence Test | Calculus 2 @WrathofMath | Uploaded 4 days ago | Updated 7 hours ago
We prove the test for divergence by proving its contrapositive. The divergence test says that we can check if a series diverges by checking the limit of the sequence of its terms. If the terms don't converge to 0, then the series must diverge. We'll prove this result by showing if a series does converge, then its terms must converge to 0. #calculus2 #calculus
Using the Divergence Test for Infinite Series: youtu.be/eeBhAYm1Rjg
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0:00 Intro
0:44 Divergence Test Proof
4:05 Warning
4:54 Conclusion
We prove the test for divergence by proving its contrapositive. The divergence test says that we can check if a series diverges by checking the limit of the sequence of its terms. If the terms don't converge to 0, then the series must diverge. We'll prove this result by showing if a series does converge, then its terms must converge to 0. #calculus2 #calculus
Using the Divergence Test for Infinite Series: youtu.be/eeBhAYm1Rjg
Join Wrath of Math to get exclusive videos, lecture notes, and more:
youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join
Calculus 2 Course: youtube.com/playlist?list=PLztBpqftvzxVvpeOYZI0HNOZRK64VSIpj
Calculus 2 Exercises: youtube.com/playlist?list=PLztBpqftvzxWISatG96gMMwuOGgHIcMuh
Get the textbook for this course! amzn.to/3PieD1M
★DONATE★
◆ Support Wrath of Math on Patreon: patreon.com/join/wrathofmathlessons
◆ Donate on PayPal: paypal.me/wrathofmath
Outro music by Ben Watts and is available for channel members.
Follow Wrath of Math on...
● Instagram: instagram.com/wrathofmathedu
● TikTok: tiktok.com/@wrathofmathedu
● X: https://x.com/wrathofmathedu
● Facebook: facebook.com/WrathofMath
0:00 Intro
0:44 Divergence Test Proof
4:05 Warning
4:54 Conclusion