MCQ
If $A = \{1, 3, 5, B\}$ and $B = \{2, 4\},$ then:
- A$4\in\text{A}$
- B$\{4\}\subset\text{A}$
- C$\text{B}\subset\text{A}$
- ✓None of these.
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$\lim _{x \rightarrow \infty} \frac{\sin \left(x^2\right)\left(\log _e x\right)^\alpha \sin \left(\frac{1}{x^2}\right)}{x^{\alpha \beta}\left(\log _e(1+x)^\beta\right.}=0$
Then which of the following is (are) correct?
$(A)$ $(-1,3) \in S$ $(B)$ $(-1,1) \in S$ $(C)$ $(1,-1) \in S$ $(D)$ $(1,-2) \in S$