JEEM-08 — JEE Main Math — Limits, Continuity and Differentiability

JEE Main Math — Limits, Continuity and Differentiability

Limits, continuity, and differentiability for JEE Main aspirants.

📋 Course Learning Outcomes

On successful completion of this course, the learner will be able to:

  1. Evaluate limits using standard forms, factorization, rationalization, and L'Hopital's rule [Apply]
  2. Compute limits involving trigonometric, exponential, and logarithmic functions via series substitutions [Apply]
  3. Analyze continuity at a point and classify removable, jump, and infinite discontinuities [Analyze]
  4. Distinguish differentiability from continuity using left- and right-hand derivative tests [Analyze]
  5. Differentiate standard, composite, and implicit functions using chain rule and logarithmic differentiation [Apply]
  6. Solve JEE Main MCQs on limits and differentiability by spotting indeterminate-form patterns [Apply]

📚 Chapters

  1. Concept of Limit and Standard Limits
  2. Algebra of Limits
  3. L'Hopital's Rule
  4. Limits Involving Trigonometric and Exponential Functions
  5. Continuity at a Point and on an Interval
  6. Types of Discontinuities
  7. Differentiability and Its Relation to Continuity
  8. Derivatives of Standard Functions
  9. Chain Rule and Implicit Differentiation
  10. Higher Order Derivatives

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