9.4 Limit, Continuity & Differentiability | Calculus & Optimization скачать в хорошем качестве

9.4 Limit, Continuity & Differentiability | Calculus & Optimization

In this video, we explore Limit, Continuity, and Differentiability - the three core pillars of Calculus that form the foundation for Optimization and Machine Learning. You’ll learn how to calculate limits, understand LHL/RHL, check continuity and differentiability, and see how these ideas connect to ML training and gradients. Topics Covered: 1. Introduction to Limits: What is a Limit? LHL (Left Hand Limit) & RHL (Right Hand Limit). How to calculate limits step-by-step 2. Indeterminate Forms & L'Hospital's Rule: What is an indeterminate form? When and how to use L’Hospital’s rule? 3. Continuity: What is Continuity? Relationship between Continuity & Limit. How to check continuity of a function (definition + examples) 4. Differentiability: What is Differentiability? Relationship between Differentiability & Continuity. How to check differentiability at a point 5. Left Hand Derivatives (LHD) & Right Hand Derivatives (RHD): Definition and geometric meaning. When LHD ≠ RHD and why differentiability fail. Helpful For: 1. Cracking AI / ML / Data Science interview rounds at top tech companies 2. Building a deeper understanding of core AI, ML concepts 3. Preparing for GATE (DA / CS / Other streams) and other related competitive exams #Calculus #Limits #Continuity #Differentiability #LHL #RHL #LHospitalsRule #MachineLearningMath #Optimization #Derivatives #MathForML #GradientDescent #decodeaiml Tags: limit in calculus, LHL RHL, right hand limit, left hand limit, how to calculate limits, indeterminate forms, l’hospital rule, continuity of a function, differentiability of a function, relationship limit continuity differentiability, left hand derivative, right hand derivative, calculus for machine learning, ml calculus, math for ml, differentiability check, continuity check, continuity & differentiability