MCQ
$\mathop {Lim}\limits_{x \to 0} \,\, \frac{{{{\log }_{{{\sin }^2}x}}\cos x}}{{{{\log }_{{{\sin }^2}\frac{x}{2}}}\cos \frac{x}{2}}}$ has the value equal to
- A$1$
- B$2$
- ✓$4$
- Dnone of these
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$\left\{(\mathrm{x}, \mathrm{y}): \frac{\mathrm{a}}{\mathrm{x}^2} \leq \mathrm{y} \leq \frac{1}{\mathrm{x}}, 1 \leq \mathrm{x} \leq 2,0<\mathrm{a}<1\right\}$ is
$\left(\log _e 2\right)-\frac{1}{7}$ then the value of $7 a-3$ is equal to: