JEE PYQ: Continuity And Differentiability Question 30
Question 30 - 2019 (10 Apr Shift 1)
If $f(x) = \begin{cases} \dfrac{\sin(p+1)x + \sin x}{x}, & x < 0 \ q, & x = 0 \ \dfrac{\sqrt{x + x^2} - \sqrt{x}}{x^{3/2}}, & x > 0 \end{cases}$
is continuous at $x = 0$, then the ordered pair $(p, q)$ is equal to:
(1) $\left(-\dfrac{3}{2}, -\dfrac{1}{2}\right)$
(2) $\left(-\dfrac{1}{2}, \dfrac{3}{2}\right)$
(3) $\left(-\dfrac{3}{2}, \dfrac{1}{2}\right)$
(4) $\left(\dfrac{5}{2}, \dfrac{1}{2}\right)$
BETA
