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#calculus #sequences#convergence link to the full playlist: • Proof By Induction: All the horses ar... In this video, formulate and give detailed and rigorous proof of Cantor's lemma. This is a very important result, that is related to completeness and compactness. We also show a visualization of what this sequence of nested intervals looks like. I would also recommend that you check one of the best undergraduate-level books in Calculus I ever encountered: https://amzn.to/3dDASMj 🔔 Click the bell in order not to miss new videos! If you liked the lecture and the materials, any support on Patreon: https://www.patreon.com/user?u=40016607 PayPal: https://www.paypal.com/paypalme/mathp... or [email protected] Visit the store to find cool items related to the channel, mathematics, physics and engineering: https://mathphysicsengineering.creato... shopping in the store is a great way to support the channel. You can be among the very few people in the world that have this unique custom-designed shirt.