MCQ
If $^{(\text{a}^2-\text{a})}\text{C}_{\text{2}}=^{(\text{a}^2-\text{a})\text{}}\text{C}_{\text{4}},$ is then x:
- A2
- ✓3
- C4
- DNone 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?
$(A)$ $(-1,3) \in S$ $(B)$ $(-1,1) \in S$ $(C)$ $(1,-1) \in S$ $(D)$ $(1,-2) \in S$