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NEIGHBORHOODS AND LIMITS OF A COMPLEX FUNCTION MADE SIMPLE In this video, we introduce the fundamental ideas of neighborhoods and limits in complex analysis. You’ll learn what a neighborhood of a complex number really means, how limits of complex functions are defined, and how these concepts extend the familiar ideas from real analysis to the complex plane. This lesson lays the groundwork for continuity, differentiability, and analytic functions, helping you build strong intuition and confidence as you move deeper into the course. 🔑 KEY TOPICS & TIMESTAMPS: 0:00 – Motivation: Why Neighborhoods Matter in Complex Analysis 1:28 – Neighborhoods in the Complex Plane 4:58 – Definition of the Open Interval 8:16 – Understanding Limits from Different Directions 11:45 – The Epsilon-Delta Definition of Limits If this lesson helped you build confidence, hit the like button and share it with a classmate! 🚀 SUBSCRIBE FOR MORE MATHEMATICS MADE SIMPLE: Don’t miss a single lesson! We post new, in-depth tutorials EVERY DAY, every week, to help you ace your exams and truly understand advanced mathematics. ➡️ SUBSCRIBE HERE: / @isolvemaths 🔗 RELATED VIDEOS & PLAYLISTS: Complex Analysis Playlist #complexanalysis #functions #limits #neighborhoods #universitymath #puremaths #appliedmathematics #mathematicsmadesimple #mathtutorial #collegemath