MCQ
$\mathop {\lim }\limits_{x \to \pi /2} \left[ {x\tan x - \left( {\frac{\pi }{2}} \right)\sec x} \right] = $
- A$1$
- ✓$-1$
- C$0$
- Dએકપણ નહી.
$ = \mathop {\lim }\limits_{x \to \pi /2} \,\,\frac{{2x\,\,\sin x - \pi }}{{2\,\cos x}}$, $\left[ {{\rm{form}} \,\, \frac{0}{0}} \right]$
$ = \mathop {\lim }\limits_{x \to \pi /2} \,\,\frac{{[2\,\sin x + 2x\cos x]}}{{ - 2\,\sin x}} = - 1$, (By $L -$ Hospital’s rule).
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
વિધાન $- 2 :9$ સ્થાનો પૈકી કોઈપણ $3$ સ્થાનો $^9C_3$ રીતે પસંદ કરી શકાય.