Limits, Continuity, and Differentiability for IIT JEE Prep

Mastering calculus is one of the most critical steps to securing a top score in competitive engineering entrance exams like the IIT JEE. This text-based course helps you build a rock-solid foundation in limits, continuity, and differentiability, turning complex mathematical theory into clear, actionable problem-solving strategies. You will transition from basic algebraic concepts to solving high-level calculus problems through detailed written explanations and systematic breakdowns. What you'll learn: * Understand the fundamental definitions of limits, left-hand and right-hand limits, and existence criteria. * Apply core theorems including the Sandwich Theorem and L'Hopital's Rule to evaluate complex limits. * Master expansion series and algebraic manipulation techniques for quick mathematical evaluation. * Analyze the continuity and differentiability of piecewise, absolute value, and composite functions. * Practice solving exam-style calculus problems through structured written exercises. The course begins with foundational terminology, basic definitions, and algebraic prerequisites before moving into rigorous evaluation methods and advanced continuity proofs. You will progress at your own pace, reading comprehensive breakdowns of challenging mathematical patterns and practicing with written examples. This course is designed for high school students, engineering aspirants, and anyone preparing for competitive entrance exams who wants to master calculus from the ground up. No prior calculus knowledge is required, though a basic understanding of algebra and functions is recommended. Start building your calculus foundation today and approach your exam preparation with confidence.