Q JEE Main 2022

$$ \lim _{x \rightarrow \frac{\pi}{4}} \frac{8 \sqrt{2}-(\cos x+\sin x)^7}{\sqrt{2}-\sqrt{2} \sin 2 x} $$ is equal to

JEE Main Mathematics Easy

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Q JEE-Main_2026

$\lim _{x \rightarrow 2} \frac{\sin \left(x^3-5 x^2+a x+b\right)}{(\sqrt{x-1}-1) \log _e(x-1)}=m$, then $a+b+m$ is equal to :

JEE Main Mathematics Medium

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Q JEE MAIN 2026

Let $\lim _{x \rightarrow 2} \frac{(\tan (x-2))\left(\mathrm{r} x^2+(\mathrm{p}-2) x-2 \mathrm{p}\right)}{(x-2)^2}=5$ for some $\mathrm{r}, \mathrm{p} \in \mathbf{R}$. If the set of...

JEE Main Mathematics Medium

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Q JEE MAIN 2026

The value of $\lim _{x \rightarrow 0}\left(\frac{x^2 \sin ^2 x}{x^2-\sin ^2 x}\right)$ is:

JEE Main Mathematics Easy

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Q JEE MAIN 2026

Let $f(x)=\lim _{y \rightarrow 0} \frac{(1-\cos (x y)) \tan (x y)}{y^3}$. Then the number of solutions of the equation $...

JEE Main Mathematics Medium

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Q JEE MAIN 2026

The product of all possible values of $\alpha$, for which $...

JEE Main Mathematics Medium

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