Mathematics · JEE

Limit, Continuity and Differentiability Revision for JEE

91+ syllabus-aligned questions available

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Revise Limit, Continuity and Differentiability by covering every subtopic once, drilling formulas, then solving 90+ timed MCQs with full solutions.

Use this Limit, Continuity and Differentiability revision checklist before mocks and the final exam. Reinforce concepts with 90+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

1.Limits and continuity
2.Chain rule, implicit, logarithmic differentiation
3.Monotonicity, maxima and minima
4.Revise Real-valued functions, algebra of functions with 10 MCQs
5.Revise Polynomial, rational, trigonometric, logarithmic and exponential functions with 10 MCQs
6.Revise Inverse functions with 10 MCQs
7.Revise Graphs of simple functions with 10 MCQs
8.Revise Limits, continuity and differentiability with 10 MCQs
9.Revise Differentiation of the sum, difference, product and quotient of two functions with 10 MCQs

JEE Formula Sheet

68+ important formulas for Limit, Continuity and Differentiability

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Subtopics in Limit, Continuity and Differentiability

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Free sample questions

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Q1MathsUnit 7: Limit, Continuity and Differentiability

If the radius of a sphere is measured as

9 \mathrm{cm}

with an error of

0.03 \mathrm{cm}

then, find the approximate error in calculating its volume

Q2MathsUnit 7: Limit, Continuity and Differentiability

Let

\boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}-\boldsymbol{x}^{2}+\boldsymbol{x}+\mathbf{1}

and

\boldsymbol{g}(\boldsymbol{x})=

\left\{\begin{array}{l}\max \{f(t)\}, \quad 0 \leq t \leq x \quad 0 \leq x \leq 1 \\ 3-x, \quad 1<x \leq 2\end{array}\right.

Then in the interval

[0,2], g(x)

is This question has multiple correct options

Q3MathsUnit 7: Limit, Continuity and Differentiability

5.63 \times 11

is equal to

Q4MathsUnit 7: Limit, Continuity and Differentiability

If the ratio of base radius and height of a cone is 1: 2 and percentage error in radius is

\lambda \%,

then the error in its volume is

Q5MathsUnit 7: Limit, Continuity and Differentiability

Function

\boldsymbol{f}(\boldsymbol{x})=(\boldsymbol{x}+\mathbf{2}) \boldsymbol{e}^{-\boldsymbol{x}}

Q6MathsUnit 7: Limit, Continuity and Differentiability

The two curves

x^{3}-3 x y^{2}+2=0

and

\mathbf{3} \boldsymbol{x}^{2} \boldsymbol{y}-\boldsymbol{y}^{3}-\boldsymbol{2}=\mathbf{0}

Q7MathsUnit 7: Limit, Continuity and Differentiability

Equation of normal drawn to the graph of the function defined as

f(x)=\frac{\sin x^{2}}{x}

\boldsymbol{x} \neq \mathbf{0}

and

\boldsymbol{f}(\mathbf{0})=\mathbf{0}

at the origin is?

Q8MathsUnit 7: Limit, Continuity and Differentiability

If a monomial

\frac{2}{5} x^{2} y^{2},

binomial

2 x+3 y

and a trinomial

2 x+3 y+4 z

are added, then the resultant expression is

a

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Frequently asked questions

How should I revise Limit, Continuity and Differentiability before JEE?

Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.