Limits and Derivatives

JEE Advanced · Mathematics · 18 past questions

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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. Q14 2012 Paper 1

   If $\lim_{x\to\infty}\left(\dfrac{x^2+x+1}{x+1}-ax-b\right)=4$, then

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