Real Analysis 24 | Pointwise Convergence [dark version]

📝 Access all videos and PDFs: https://tbsom.de/s/ra 👍 Become a member on Steady: https://steadyhq.com/en/brightsideofmaths 👍 Or become a member on Patreon: https://www.patreon.com/bsom Other possibilities here: https://tbsom.de/sp You can also support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.com/support/ Join this channel on YouTube: https://www.youtube.com/channel/UCdwo4k1RQHTcq_-WS7Cazqg/join 💬 Access to the community forum: https://thebrightsideofmathematics.com/community/ 🕚 Early access for videos: https://thebrightsideofmathematics.com/early_access/ ❓ FAQ: https://thebrightsideofmathematics.com/about/help/ 🛠️ What tools do you use: https://thebrightsideofmathematics.com/tools/ 📚 Download my books: https://thebrightsideofmathematics.com/books/ 🆓 Ad-free access to all videos: https://thebrightsideofmathematics.com/ad-free_access/ ▶️ Exclusive supporter videos: https://tbsom.de/s/ra 👏 Your name at the top in the credits of the upcoming videos! (opt-out possible) 📝 PDF versions, quizzes, and Python scripts: https://tbsom.de/s/ra Please consider to support me if this video was helpful such that I can continue to produce them :) Each supporter gets access to the additional material. If you need more information, just send me an email: https://tbsom.de/s/mail Watch the whole video series about Real Analysis and download PDF versions, quizzes and exercises: https://tbsom.de/s/ra Supporting me via Steady is the best option for me and you. Please consider choosing a supporter package here: https://tbsom.de/s/subscribe 🌙 There is also a dark mode version of this video: https://youtu.be/SYvEDEBuWrI 🔆 There is also a bright mode version of this video: https://youtu.be/Kq_KZpljeXo 🔆 To find the YouTube-Playlist, click here for the bright version: https://www.youtube.com/playlist?list=PLBh2i93oe2quABbNq4I_-hyjhW8eOdgrO 🌙 And click here for the dark version of the playlist: https://www.youtube.com/playlist?list=PLBh2i93oe2qujVx3lY57ViMrbXqE8y0OG 🙏 Thanks to all supporters! They are mentioned in the credits of the video :) This is my video series about Real Analysis. We talk about sequences, series, continuous functions, differentiable functions, and integral. I hope that it will help everyone who wants to learn about it. x 00:00 Intro 00:33 Pointwise convergence 02:03 1st Example 03:20 2nd Example 06:40 3rd Example 07:43 Credits #RealAnalysis #Mathematics #Calculus #LearnMath #Integrals #Derivatives #Studying I hope that this helps students, pupils and others. Have fun! (This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on) For questions, you can contact me: https://steadyhq.com/en/backend/messages#/me/brightsideofmaths