JEE Main 2026 Calculus Chapterwise Practice Questions: Limits, Derivatives & Integration

When it comes to Calculus in JEE Mains, the chapters on Limits, Derivatives, and Integration are often considered one of the most targeted and high-scoring sections. These topics test your analytical ability, conceptual understanding and problem-solving skills. These topics covers the core of Calculus, and combined together, carries approximately 20-25% of the total weightage. To master the different types and levels of questions, from simple to complex, you need to practice with a lot of sample papers and model questions. These sample questions should cover numericals, formula-based problems and equations, and a detailed solutions guide to help you understand the approach.

As theJEE Main 2026is approaching, you need to practice more to get a good score. In this article, you will find some practice questions with solutions for the JEE Main Limits, Derivatives & Integration chapters.

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JEE Main 2026 Limits, Derivatives & Integration Practice Questions with Solutions

Check out some practice questions with solutions for the JEE Main 2026 Limits, Derivatives & Integration chapters.

Q1.lim ⁡x→0 sin x/x

Solution

sin x/x →1 as x→0

Answer:1

Q2.lim ⁡x→0 ex − 1​/x

Solution

Derivative of ex at x = 0 → 1

Answer:1

Q3.lim ⁡x→0 x5 - 1/ x - 1

Solution

Derivative at x=1: 5x4 = 5

Answer:5

JEE Main 2026 Calculus Chapterwise Practice Questions PDF

You can enhance yourJEE Main 2026 preparationby solving the Limits, Derivatives & Integration practice questions given in the PDF below:

How to Prepare for JEE Main 2026 Limits, Derivatives & Integration

Find here the preparation tips for JEE Main 2026 Limits, Derivatives & Integration chapters:

• Start with Concept Revision:For each chapter, revise all definitions, theorems, and standard results first.

• Solve Conceptual Questions:Start with easy questions to build confidence, direct substitution for limits, standard derivatives and simple integrals, but try to solve 20-30 questions every day.

• Move to Moderate & Trickier Questions:These include algebraic manipulation in limits, composite functions, definite integrals with tricky bounds, and application questions.

• Use Chapter-wise PYQs (Previous Year Questions):The previous years’ question papers will help you in your exam preparation.

• Check Solutions:The solutions provided after every question must be checked in detail to understand how the question is solved.

JEE Main 2026 Calculus Most Important Topics

The JEE Main 2026 Limits, Derivatives & Integration is a part of the Calculus section. The weightage of the Calculus part is 25 to 30%. You can check the Limits, Derivatives & Integration syllabus in the table below:

Use the solutions provided with the questions here to learn from mistakes; your aim is not just to finish questions, but to understand how the solution is built and why you should follow that method. Supplement your exam preparation withJEE Main Mathematics practice questionsand weekly mock tests!

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