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Limits Continuity and Differentiability · 2024 · Shift 2

3 Mathematics questions from this JEE Advanced paper

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JEE Advanced
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2024 · Shift 2
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2024 · Shift 2

3 Mathematics questions from this JEE Advanced paper

Q20.Let $k \in R$ . If $x \to 0 + lim (sin (sin k x) + cos x + x)^{\frac{2}{x}} = e^{6}$ , then the value of $k$ is
Mathematics · Limits Continuity and Differentiability · MCQ
Q21.Let $f : R \to R$ be a function defined by $f (x) = {x^{2} sin (\frac{π}{x ^{2}}), 0, if x e q 0, if x = 0.$ Then which of the…
Mathematics · Limits Continuity and Differentiability · MCQ
Q22.Let $S$ be the set of all $(α, β) \in R \times R$ such that $x \to \infty lim \frac{s i n ( x ^{2} ) ( l o g _{e} x ) ^{α} s i n ( \frac{1}{x ^{2}} )}{x ^{α β} ( l o g _{e} ( 1 + x ) ) ^{β}} = 0.$ …
Mathematics · Limits Continuity and Differentiability · Multiple correct