IITJEE Mains • Mathematics New Syllabus
Module 07: Limits & Continuity Hub
Master the foundations of calculus. Explore the concepts of approaching values, continuous curves, indeterminate forms, L’Hopital’s rule, and the principles of differentiability.
Topic 1.1 • Limit Fundamentals
Concept of Limits, Algebraic Limits, Rationalization, and Standard Limit Formulas
Topic 1.2 • Transcendental Functions
Evaluation of Limits involving Trigonometric, Exponential, and Logarithmic Functions
Topic 2.1 • Indeterminate Forms
0/0 and ∞/∞ Forms, L’Hopital’s Rule, and 1^∞, 0×∞ Form Limit Evaluations
Topic 2.2 • Advanced Limits
Sandwich (Squeeze) Theorem, Limits using Expansion Series, and Limits of Sums
Topic 3.1 • Continuous Functions
Continuity at a Point, Continuity in an Interval, and Types of Discontinuities
Topic 3.2 • Continuity Theorems
Algebra of Continuous Functions, Composite Functions, and Intermediate Value Theorem
Topic 4.1 • Derivability
Left Hand Derivative (LHD), Right Hand Derivative (RHD), and Geometrical Meaning
Topic 4.2 • Functional Relationships