1.Let f:R→Rf : \mathbb{R} \to \mathbb{R}f:R→R be a function given byf(x)={1−cos2xx2,x<0α,x=0β1−cosxx,x>0f(x) = \begin{cases} \frac{1-\cos 2x}{x^2}, & x < 0 \\ \alpha, & x = 0 \\ \frac{\beta\sqrt{1-\cos x}}{x}, & x > 0 \end{cases}f(x)=⎩⎨⎧x21−cos2x,α,xβ1−cosx,x<0x=0x>0,where α,β∈R\alpha, \beta \in \mathbb{R}α,β∈R. If fff is continuous at x=0x = 0x=0, then α2+β2\alpha^2 + \beta^2α2+β2 is equal toa.3b.12c.48d.6Login to continueOnly logged in users canattempt or see the solution.
