JEE PYQ: Continuity And Differentiability Question 22
Question 22 - 2020 (09 Jan Shift 1)
If $f(x) = \begin{cases} \dfrac{\sin(a+2)x + \sin x}{x}, & x < 0 \ b, & x = 0 \ \dfrac{(x + 3x^2)^{1/3} - x^{1/3}}{x^{4/3}}, & x > 0 \end{cases}$
is continuous at $x = 0$, then $a + 2b$ is equal to:
(1) $1$
(2) $-1$
(3) $0$
(4) $-2$