Limits, Continuity and Differentiability PYQs - Last 5 Years

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MathematicsCalculus2022-2026

All Limits, Continuity and Differentiability PYQs Last 10 Years Create chapter test

Practice 5 IAT (IISER) Mathematics questions from Limits, Continuity and Differentiability. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Mathematics / Calculus

2023-2026

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2022-2026

Last 10 Years

2017-2026

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Last 5 Years Limits, Continuity and Differentiability Questions

Showing 5 of 5 filtered questions.

1Limits Continuity And Differentiability

For real numbers $a$ and $b$, consider the function $f : \mathbb{R} \rightarrow \mathbb{R}$ given by$f(x) = \begin{cases} -ax - b & \text{if } x < -1, \\ 5x + 1 & \text{if } -1 \leq x \leq 1, \\ a^2x + 3b & \text{if } x > 1. \end{cases}$How...

MCQ+4 / -12026

2Limits Continuity And Differentiability

Let $f : \mathbb{R} \rightarrow \mathbb{R}$ be the function given by$f(x) = |x - 2| + 3|x - 1| + ||x - 2| - 1|$.What is the number of points where $f$ is NOT differentiable?

MCQ+4 / -12026

3Limits Continuity And Differentiability

Let $f: \mathbf{R} \rightarrow \mathbf{R}$ be defined as $f(x)=\left|x^3-3 x\right|[x]$, where $[x]$ denotes the greatest integer less than or equal to $x$. Which one of the following statements is TRUE?

MCQ+4 / -12025

4Limits Continuity And Differentiability

Let $f, g: R \rightarrow R$ be functions. If $g$ is continuous, then which one of the following cases implies that $f$ is continuous?

MCQ+4 / -12024

5Limits Continuity And Differentiability

Which one of the following functions is differentiable at $x=0$ ?

MCQ+4 / -12023