Continuity and Differentiability

JEE Advanced · Mathematics · 31 past questions

7 of 31 · show all

1. Q2 2026 Paper 1

   Consider the function $f : \left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \to (-\infty, \infty)$ defined by…

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2. Q4 2026 Paper 2

   For a real number $\alpha$, let $[\alpha]$ denote the greatest integer less than or equal to $\alpha$. For a…

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3. Q7 2023 Paper 2

   Let $f : (0,1) \to \mathbb{R}$ be the function defined as…

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4. Q19 2016 Paper 2

   Let $a,b\in\mathbb{R}$ and $f:\mathbb{R}\to\mathbb{R}$ be defined by $f(x)=a\cos(|x^3-x|)+b|x|\sin(|x^3+x|)$.…

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5. Q22 2014 Paper 1

   Let $f:\mathbb{R}\to\mathbb{R}$ and $g:\mathbb{R}\to\mathbb{R}$ be respectively given by $f(x)=|x|+1$ and…

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6. Q23 2012 Paper 1

   Let $f(x)=\begin{cases} x^2\left|\cos\dfrac{\pi}{x}\right|, & x\neq 0\\ 0, & x=0\end{cases}$…

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7. Q26 2011 Paper 2

   If…

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