The Monotone Convergence theorem | Proof | Measure Theory

In this video we prove the first convergence theorem: Monotone Convergence Theorem (MCT). One of the most important theorems in Measure Theory. Ps: Sorry about my voice, I was a bit sick! ☕ Make a small donation on Ko-fi: https://ko-fi.com/problemathic 💸 Support us on Patreon, get great perks and items!   / problemathic   👕 Buy great math t-shirts! https://problemathic.creator-spring.com 💥 Over 40k followers on Instagram, join us!   / problemathicvideos   💬 Join our Discord server!!   / discord   🖇️ https://linktr.ee/Problemathic Timestamps in this video: 00:00 Introduction. 01:06 Monotone Convergence Theorem. 02:47 Why the theorem is useful. 03:40 Proof geq. 05:51 Proof leq. 08:57 Conclusion: Integrating is hard. #maths #measuretheory #analysis