Definition of the Limit of a Sequence | Real Analysis

Support the production of this course by joining Wrath of Math to access all my Real Analysis videos plus lecture notes at the premium tier!    / @wrathofmath   🛍 Check out the coolest math clothes in the world: https://mathshion.com/ Real Analysis course:    • Real Analysis   Real Analysis exercises:    • Real Analysis Exercises   Get the textbook! https://amzn.to/4lNpyNN Business Inquiries: [email protected] What are convergent sequences, and what is the definition of the limit of a sequence? We introduce the definitions, with examples and a proof in today's video lesson! In the definition of the limit of a sequence, we seek to capture what it means for a sequence to get arbitrarily close, or converge, to some limiting value. We do this by using an arbitrarily small "tolerance" value called epsilon. If you're in an analysis class, get ready to write "Let epsilon be greater than 0" an awful lot. Follow Wrath of Math on... ● Instagram:   / wrathofmathedu   ● Facebook:   / wrathofmath   ● Twitter:   / wrathofmathedu