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In this video, we look at an important example that tests the conceptual understanding of limits and continuity. In particular, we look at an example of a function that is discontinuous but has whose limit exists. 👍 To support the channel, hit the like button and subscribe. 🐸 To learn how I make these animations using Grant Sanderson's (3Blue1Brown) program Manim, check out my quick intro to Manim on Skillshare: https://www.skillshare.com/r/profile/... 🎸 Music in this video is from Epidemic Sound: https://www.epidemicsound.com/referra... Ways to support the channel: 🏆 Support the channel over on Patreon / kylebroder 🐸 Support the channel by signing up to a free trial of Skillshare using the link https://www.skillshare.com/r/profile/... FYI, these are affiliate links 💪🙏 These videos are separate from my research and teaching roles at the Australian National University, University of Sydney, and Beijing University. These videos are made using the open-source library -- Manim -- created by 3blue1brown: https://github.com/3b1b/manim