3 Limit of Complex Functions Part 1 #limit

In this video lecture, we explore the concept of limits in complex analysis. Starting with the basic definition of a limit for complex functions, we develop both an intuitive geometric understanding and the rigorous epsilon-delta formulation. The session includes step-by-step solved examples to strengthen the conceptual grasp of approaching limits from different directions in the complex plane.

📚 Topics Covered:
✅ What does it mean for a complex function 𝑓(𝑧 ) to have a limit as 𝑧→ 𝑧_0 ?
✅ Geometrical representation of complex limits using neighborhoods and directionality
✅ Formal epsilon-delta definition of limits in complex analysis
✅ Key differences between real and complex limits
✅ Worked-out examples to:
 • Show existence of limit
 • Show non-existence due to path dependence
✅ Visual reasoning to understand multiple approach paths in 𝐶

🎯 Ideal For:
– Undergraduate math students (B.Sc., B.Tech)
– M.Sc. students revising complex analysis
– Exam preparation for CSIR-NET, GATE, IIT-JAM, etc.
– Anyone beginning their journey into complex function theory

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Watch complete lecture series: https://youtube.com/playlist?list=PLzt330quwYmUhk1L1_nd2xAmb2C1NuxXf&si=NStmnSgaHYQhzEDm

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Видео 3 Limit of Complex Functions Part 1 #limit канала The ClassRoom Study