Limits and Derivatives

JEE Advanced · Mathematics · 18 past questions

5 of 18 · show all

1. Q3 2024 Paper 2

   Let $k\in\mathbb{R}$. If $\lim_{x\to0^+}\left(\sin(\sin kx)+\cos x+x\right)^{\frac{2}{x}}=e^6$, then the…

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2. 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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3. Q12 2015 Paper 2

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

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4. Q13 2014 Paper 1

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

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5. Q16 2011 Paper 2

   If…

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