Wrath of Math | Infinite Series (-1)^n*(n^2/2^n) with Ratio Test | Calculus 2 Exercises @WrathofMath | Uploaded 1 week ago | Updated 4 hours ago
We determine the convergence of the series (-1)^n*(n^2/2^n) using the ratio test. We'll find the limit of the relevant ratio is less than 1, and so the series is absolutely convergent by the ratio test. This means also that it is plainly convergent. #calculus2 #apcalculusbc
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We determine the convergence of the series (-1)^n*(n^2/2^n) using the ratio test. We'll find the limit of the relevant ratio is less than 1, and so the series is absolutely convergent by the ratio test. This means also that it is plainly convergent. #calculus2 #apcalculusbc
Join Wrath of Math to get exclusive videos, lecture notes, and more:
youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join
Ratio Test Explained: youtu.be/1MD7wrxGu2s
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
Follow Wrath of Math on...
● Instagram: instagram.com/wrathofmathedu
● TikTok: tiktok.com/@wrathofmathedu
● X: https://x.com/wrathofmathedu
● Facebook: facebook.com/WrathofMath