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Limits Continuity And Differentiability - Calculus - Mathematics Previous Year Questions
Practice Limits Continuity And Differentiability - Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.
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Limits Continuity And Differentiability question pattern
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| Paper | Year / session | Questions in this view | Open |
|---|---|---|---|
| IAT IISER 2025 | 2025 | 1 | View paper |
| IAT IISER 2024 | 2024 | 1 | View paper |
| IAT IISER 2023 | 2023 | 1 | View paper |
| IAT IISER 2020 | 2020 | 1 | View paper |
All Limits Continuity And Differentiability previous year questions
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2020 · Mathematics · Calculus · Limits Continuity And Differentiability
IAT IISER 2020
If $f(x)=a x^2+b x+c$ and $f\left(\frac{1}{n}\right)=\frac{n+1}{n^2}$ for all $n \in N$, then what is the value of $\lim \limits_{x \rightarrow 0} f^{\prime}(x)$ ?
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2023 · Mathematics · Calculus · Limits Continuity And Differentiability
IAT IISER 2023
Which one of the following functions is differentiable at $x=0$ ?
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2024 · Mathematics · Calculus · Limits Continuity And Differentiability
IAT IISER 2024
Let $f, g: R \rightarrow R$ be functions. If $g$ is continuous, then which one of the following cases implies that $f$ is continuous?
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2025 · Mathematics · Calculus · Limits Continuity And Differentiability
IAT IISER 2025
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?