In this detailed video lecture, Ashish Sir from MathYug provides an in-depth explanation of how to check continuity and discontinuity in the graph of a function using limits, a crucial concept from Class 12 Maths Chapter 5 – Continuity and Differentiability. The lecture focuses on building a clear conceptual understanding of continuity by visually interpreting graphs and applying the limit-based definition of continuity at a point. Using his own custom-designed assignments, Ashish Sir solves a variety of questions, including those from the NCERT Exercise 5.1 as well as extra (HOTS – Higher Order Thinking Skills) questions, to cover all possible cases and exceptions. Each example is broken down step-by-step to help students learn how to approach problems methodically, identify points of discontinuity, and justify conclusions using left-hand and right-hand limits.