Limit Points (Sequence and Neighborhood Definition) | 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!    / @wrathofmath   🛍 Get 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/45kcMjq Limit points, accumulation points, cluster points, whatever you call them - that's today's subject. We'll define limit points in two ways. First we'll discuss the sequence definition of a limit point of a set. Then we'll discuss the neighborhood definition of a limit point of a set. We will see examples of limit points and non-examples, and conclude with a proof that the two definition of limit point are equivalent. #realanalysis Limit points can be used to define what are called closed sets also, check it out!    • All About Closed Sets and Closures of Sets...   ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits:   / wrathofmathlessons   ◆ Donate on PayPal: https://www.paypal.me/wrathofmath 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:   / wrathofmathedu   ● Facebook:   / wrathofmath   ● Twitter:   / wrathofmathedu