1.Let f:R→Rf: \mathbb{R} \to \mathbb{R}f:R→R be a function defined asf(x)={asin(π2(x+1))+sin2x2x,x<0b,x=0tanx−sinxx3,x>0f(x) = \begin{cases} \frac{a \sin\left(\frac{\pi}{2}(x+1)\right) + \sin 2x}{2x}, & x < 0 \\ b, & x = 0 \\ \frac{\tan x - \sin x}{x^3}, & x > 0 \end{cases}f(x)=⎩⎨⎧2xasin(2π(x+1))+sin2x,b,x3tanx−sinx,x<0x=0x>0If fff is continuous at x=0x = 0x=0, then the value of a+ba + ba+b is equal to:Login to continueOnly logged in users canattempt or see the solution.
