MathematicsMedium179×since 2002Q4163Let f:R→Rf: \mathbf{R} \rightarrow \mathbf{R}f:R→R be a function given by f(x)={1−cos2xx2,x<0α,x=0,β1−cosxx,x>0f(x)= \begin{cases}\frac{1-\cos 2 x}{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=0,x>0 where α,β∈R\alpha, \beta \in \mathbf{R}α,β∈R. If fff is continuous at x=0x=0x=0, then α2+β2\alpha^2+\beta^2α2+β2 is equal to :A48B6C3D12Check answerSkip