Intro to Infinite Series | Real Analysis

We introduce the definition of infinite series, the definition of a convergent series and the limit of a series, as well as divergent series. We'll discuss partial sums, terms of an infinite series, and look at various examples including geometric series, the harmonic series, and p-series. We'll also discuss Zeno's Paradox about an arrow headed for a target, which seemingly cannot get there! #RealAnalysis Table of Contents 0:00 Into 1:57 Zeno's Paradox 7:42 Definitions 14:12 Examples Definition of the Limit of a Sequence: https://youtu.be/cTnlHZD5ss4 Monotone Convergence Theorem: https://youtu.be/4NURDmE79VU Real Analysis playlist: https://www.youtube.com/playlist?list=PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: https://www.patreon.com/join/wrathofmathlessons ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Thanks to Robert Rennie, Barbara Sharrock, and Rolf Waefler for their generous support on Patreon! Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/ Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● Facebook: https://www.facebook.com/WrathofMath ● Twitter: https://twitter.com/wrathofmathedu My Music Channel: https://www.youtube.com/channel/UCOvWZ_dg_ztMt3C7Qx3NKOQ