1.
Let f:RRf : \mathbb{R} \to \mathbb{R} be defined as

f(x)={2sin(πx2)x,x<1ax2+x+b,1x1sin(πx)x,x>1f(x) = \begin{cases} \frac{2 \sin\left(-\frac{\pi x}{2}\right)}{x}, & x < -1 \\ ax^2 + x + b, & -1 \le x \le 1 \\ \frac{\sin(\pi x)}{x}, & x > 1 \end{cases}


If f(x)f(x) is continuous on R\mathbb{R}, then a+ba + b equals: