MATH 242: Analysis 1 (McGill Final)

Currently Playing: Proof: Limit Law for Difference of Convergent Series | Real Analysis

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! https://www.youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join 🛍 Get the coolest math clothes in the world! https://mathshion.com/ Real Analysis course: https://www.youtube.com/playlist?list=PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli Real Analysis exercises: https://www.youtube.com/playlist?list=PLztBpqftvzxXAN05Gm3iNmpz9SkVfLNqC Get the textbook! https://amzn.to/45kcMjq We prove the limit law for the difference of convergent series. If two series converge to a and b, then the series whose terms are the differences of the terms of the original two series is the difference of the limits: a-b. We'll prove this using the limit law for the difference of convergent sequences and the definition of a convergent series, which is based on its sequence of partial sums. #RealAnalysis Proof of Limit Law for Difference of Convergent Sequences: https://youtu.be/ZlAT0_W4yP0 Intro to Infinite Series: https://youtu.be/-YcQu_rZYSE Definition of the Limit of a Convergent Series: coming soon Proof of Series Limit Law for Sum of Convergent Series: https://youtu.be/j6Tsqv31pQk Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● Facebook: https://www.facebook.com/WrathofMath ● Twitter: https://twitter.com/wrathofmathedu