Support the production of this course by joining Wrath of Math to access all my real analysis videos plus the lecture notes at the premium tier! 🛍 Get the coolest math clothes in the world! Real Analysis course: Real Analysis exercises: Get the textbook! 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 Definition of the Limit of a Sequence: Monotone Convergence Theorem: ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: ◆ Donate on PayPal: Follow Wrath of Math on... ● Instagram: ● Facebook: ● Twitter: 0:00 Into 1:57 Zeno's Paradox 7:42 Definitions 14:12 Examples