Рет қаралды 181
We prove a p series converges if p is greater than 1 and diverges is p is between 0 and 1 inclusive. We establish this result about p-series convergence using the integral test. We'll finish with a few examples of p-series and determining their convergence/divergence., #calculus2
Integral Test for Series: • Using the Integral Tes...
Calculus 2 Course: • Calculus 2
Calculus 2 Exercises: • Calculus 2 Exercises
Join Wrath of Math to get exclusive videos, music, and more:
/ @wrathofmath
0:00 Intro
0:46 Proof of p-Series Convergence
5:38 Examples, Determine if the p-Series Converges
6:52 Conclusion
◉Textbooks I Like◉
Graph Theory: amzn.to/3JHQtZj
Real Analysis: amzn.to/3CMdgjI
Abstract Algebra: amzn.to/3IjoZaO
Linear Algebra: amzn.to/43xAWEz
Calculus: amzn.to/3PieD1M
Proofs and Set Theory: amzn.to/367VBXP (available for free online)
Statistics: amzn.to/3tsaEER
Discrete Math: amzn.to/3qfhoUn
Number Theory: amzn.to/3JqpOQd
★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: / wrathofmathlessons
◆ Donate on PayPal: www.paypal.me/wrathofmath
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Follow Wrath of Math on...
● Instagram: / wrathofmathedu
● Facebook: / wrathofmath
● Twitter: / wrathofmathedu
My Math Rap channel: / @mathbars2020