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JEE Advance 2024
Paper-2 2024
Multiple correct answers - Select all that apply
Question
Let S be the set of all $(\alpha, \beta) \in R \times R$ such that $$ \lim _{x \rightarrow \infty} \frac{\sin \left(x^2\right)\left(\log _e x\right)^\alpha \sin \left(\frac{1}{x^2}\right)}{x^{\alpha \beta}\left(\log _e(1+x)\right)^\beta}=0 $$ Then which of the following is (are) correct?
Select ALL correct options:
A
$(-1,3) \in S$
B
$(-1,1) \in S$
C
$(1,-1) \in S$
D
$(1,-2) \in S$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
⚠ Partially correct. Some answers are missing.
Solution
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