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Let f : R → R be a function given by f(x) = ⎪ ⎪ ⎪ ⎩ ⎪ ⎪ ⎪ ⎨ ⎧ > β ∈ β α = α < − 0 x , x cosx – 1 If R. , where 0, x , 0 x , x x 2 cos 1 2 f is continuous at x = 0, then α 2 + β 2 is equal to-

1. 48
2. 12
3. 3
4. 6

Correct answer: 12

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