MCQ
$\mathop {\lim }\limits_{\alpha \to \beta } \left[ {\frac{{{{\sin }^2}\alpha - {{\sin }^2}\beta }}{{{\alpha ^2} - {\beta ^2}}}} \right] = $
- A$0$
- B$1$
- C$\frac{{\sin \beta }}{\beta }$
- ✓$\frac{{\sin 2\beta }}{{2\beta }}$
Applying $ L-$ Hospital’s rule,
$\mathop {{\rm{lim}}}\limits_{\alpha \to \beta } \frac{{2\sin \,\alpha \,\,\cos \alpha }}{{2\alpha }} = \mathop {{\rm{lim}}}\limits_{\alpha \to \beta } \frac{{\sin \,\,2\alpha }}{{2\alpha }} = \frac{{\sin \,\,2\beta }}{{2\beta }}$.
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
| વર્ગ: | $0-6$ | $6-12$ | $12-18$ | $18-24$ | $24-30$ |
| આવૃતિ: | $a$ | $b$ | $12$ | $9$ | $5$ |
જો મધ્યક $=\frac{309}{22}$ અને મધ્યસ્થ $=14$, હોય તો $(a-b)^{2}$ ની કિમંત મેળવો.