Limits and Differentiability JEE Main PYQ Chapter Wise

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Limits, Continuity and Differentiability PYQs (previous year questions) for JEE Main: Limits, Continuity and Differentiability (Mathematics) had 24 questions across the 11 official JEE Main papers we tagged (2016–2026), and appeared in 11 of them. Asked in 3 of 3 years. The concepts asked in the most papers: Limits, Maxima and Minima, Continuity.

Year-wise question count

Asked in 3 of 3 years.

Most-asked concepts

Sorted by the number of papers a concept appeared in.

How to practise Limits, Continuity and Differentiability PYQs

1. Start with the concepts at the top of the table. They have come back the most.
2. Solve one year’s Limits, Continuity and Differentiability questions from the official PDF against the clock, then check the answer listed below.
3. Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
4. Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.

Questions by year

Each line gives the question number and paper, type, concept, our one-line summary and the official answer, with a link to the official PDF.

JEE Main2026

• Q.16 (2 April, shift 1) · MCQ · Limits: Find a, b, m so a limit with sine and log exists and equals m (official answer: option 2) PDF
• Q.18 (2 April, shift 1) · MCQ · Critical Points: Count critical points of |sin x|/x in (-2pi, 2pi) (official answer: option 3) PDF
• Q.18 (2 April, shift 2) · MCQ · Maxima and Minima: Degree-5 polynomial with extrema at +-1 and a given limit; find f(2) - f(-2) (official answer: option 4) PDF
• Q.25 (2 April, shift 2) · Numerical · Continuity: Points of discontinuity of [x^2 - x - 1/2] in [2, 4] (official answer: 10) PDF
• Q.16 (4 April, shift 1) · MCQ · Differentiation of Inverse Trig: Derivative of a sum of inverse tangent expressions at x = sqrt3/2 (official answer: option 3) PDF
• Q.17 (4 April, shift 1) · MCQ · Polynomial Functional Equation: Polynomial with f = f' f''; evaluate expression with derivatives and integral (official answer: option 3) PDF
• Q.25 (4 April, shift 1) · Numerical · Differentiability: Points of non-differentiability of a max and modulus function in (-pi, pi) (official answer: 3) PDF
• Q.12 (4 April, shift 2) · MCQ · Maxima and Minima: Maximum of 16 sin(x/2) cos³(x/2) on [0, π] (official answer: option 2) PDF
• Q.22 (4 April, shift 2) · Numerical · Continuity and Differentiability: Count points of discontinuity and non-differentiability of g=f(|x|)+|f(x)| (official answer: 4) PDF
• Q.17 (5 April, shift 1) · MCQ · Limits: Product of α values for which a trigonometric limit equals 2 (official answer: option 3) PDF
• Q.19 (5 April, shift 1) · MCQ · Functional Equations and Extrema: Find f from f((x+y)/3)=(f(x)+f(y))/3; minimum of 3+eˣf(x) (official answer: option 2) PDF
• Q.17 (5 April, shift 2) · MCQ · Limits: Find f(x) from a limit, then number of solutions of f(x)=sin x (official answer: option 3) PDF
• Q.17 (6 April, shift 1) · MCQ · Limits: Limit of x^2 sin^2 x / (x^2 - sin^2 x) as x tends to 0 (official answer: option 2) PDF
• Q.17 (6 April, shift 2) · MCQ · Maxima and Minima: Singular matrix gives alpha; max minus min of integral function on [1,a] (official answer: option 2) PDF
• Q.25 (6 April, shift 2) · Numerical · Continuity: Number of discontinuities of composite of piecewise functions (official answer: 3) PDF
• Q.13 (8 April, shift 2) · MCQ · Differentiability and Monotonicity: Differentiability and monotonicity of e^sin|x| - |x| (official answer: option 1) PDF

JEE Main2017

• Q.70 · MCQ · Limits: Limit of (cot x - cos x)/(pi-2x)^3 at pi/2 PDF
• Q.71 · MCQ · Differentiation: Derivative of an inverse tangent function PDF
• Q.72 · MCQ · Tangents and Normals: Point on the tangent where a curve meets the y-axis PDF
• Q.73 · MCQ · Maxima and Minima: Maximum area of circular-sector flower bed from fixed fencing PDF

JEE Main2016

• Q.70 · MCQ · Limits: Log of a 1-power-infinity limit PDF
• Q.71 · MCQ · Differentiability: Differentiability of composite of absolute log-sine function at 0 PDF
• Q.72 · MCQ · Tangents and Normals: Point on the normal to an inverse tangent curve PDF
• Q.73 · MCQ · Maxima and Minima: Split wire into square and circle to minimise total area PDF

Limits, Continuity and Differentiability in other exams

The same chapter in other official papers we tagged: JEE Advanced (55 questions).

Other Mathematics chapters

• Sets, Relations and Functions PYQs
• Complex Numbers and Quadratic Equations PYQs
• Matrices and Determinants PYQs
• Permutations and Combinations PYQs
• Binomial Theorem PYQs
• Sequences and Series PYQs
• Integral Calculus PYQs
• Differential Equations PYQs
• Coordinate Geometry PYQs
• Three-Dimensional Geometry PYQs
• Vector Algebra PYQs
• Statistics and Probability PYQs
• Trigonometry PYQs

FAQ

How many Limits, Continuity and Differentiability questions come in JEE Main?

In the official papers we tagged: 16 in 2026 (9 papers), 4 in 2017 (1 paper) and 4 in 2016 (1 paper). That is 24 questions in all, about 8% of Mathematics.

Which Limits, Continuity and Differentiability topics repeat in JEE Main?

Asked in the most papers: Limits, Maxima and Minima, Continuity. The concept table lists every one with its count.

Are these official JEE Main questions?

Yes. Every question is from an official JEE Main paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.