Limits and Derivatives

JEE Advanced · Mathematics · 18 past questions

13 of 18 · show all

1. Q1 2025 Paper 1

   Let $\alpha$ and $\beta$ be the real numbers such that…

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2. Q6 2022 Paper 1

   Let $\alpha$ be a positive real number. Let $f:\mathbb{R}\to\mathbb{R}$ and $g:(\alpha,\infty)\to\mathbb{R}$…

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3. Q7 2022 Paper 2

   If…

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4. Q8 2020 Paper 1

   Let $e$ denote the base of the natural logarithm. The value of the real number $a$ for which the right hand…

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5. Q9 2020 Paper 2

   The value of the limit…

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6. Q10 2017 Paper 2

   Let $f(x) = \frac{1-x(1+|1-x|)}{|1-x|}\cos\left(\frac{1}{1-x}\right)$ for $x \neq 1$. Then

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7. Q11 2016 Paper 1

   Let $\alpha, \beta \in \mathbb{R}$ be such that…

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8. Q12 2015 Paper 2

   Let $m$ and $n$ be two positive integers greater than 1. If…

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9. Q13 2014 Paper 1

   The largest value of the nonnegative integer $a$ for which…

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10. Q15 2012 Paper 2

    Let $\alpha(a)$ and $\beta(a)$ be the roots of the equation…

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11. Q16 2011 Paper 2

    If…

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12. Q17 2009 Paper 1

    Let…

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13. Q18 2008 Paper 1

    Let $f$ and $g$ be real valued functions defined on interval $(-1, 1)$ such that $g''(x)$ is continuous…

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