Wrath of Math | Infinite Series n^n/n! with Ratio Test | Calculus 2 Exercises @WrathofMath | Uploaded 2 weeks ago | Updated 1 hour ago
We determine the convergence of the series n^n/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. In particular, we'll find the limit is e, which is about 2.718. This means also that our series is convergent. #calculus2 #apcalculusbc
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
We determine the convergence of the series n^n/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. In particular, we'll find the limit is e, which is about 2.718. This means also that our series is convergent. #calculus2 #apcalculusbc
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