MCQ
જો $f\left( x \right)\left\{ {\begin{array}{*{20}{c}}
{\frac{{\sin \,\left( {p + 1} \right)x + \sin \,x}}{x},\,\,}&{x < 0} \\
{q\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,}&{x = 0} \\
{\frac{{\sqrt {x + {x^2}} - \sqrt x }}{{x/2}},}&{x > 0}
\end{array}} \right.$ એ $x = 0$ આગળ સતત હોય તો ક્રમયુક્ત જોડ $(p, q)$ મેળવો.
{\frac{{\sin \,\left( {p + 1} \right)x + \sin \,x}}{x},\,\,}&{x < 0} \\
{q\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,}&{x = 0} \\
{\frac{{\sqrt {x + {x^2}} - \sqrt x }}{{x/2}},}&{x > 0}
\end{array}} \right.$ એ $x = 0$ આગળ સતત હોય તો ક્રમયુક્ત જોડ $(p, q)$ મેળવો.
- A$\left( { - \frac{3}{2}, - \frac{1}{2}} \right)$
- B$\left( {\frac{5}{2},\frac{1}{2}} \right)$
- C$\left( { - \frac{1}{2},\frac{3}{2}} \right)$
- D$\left( { - \frac{3}{2}, \frac{1}{2}} \right)$