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If 3 2 x sin x x sin e e lim 2 x x 0 x = γ + β + α − → , where α , β , γ ∈ R, then which of the following is NOT correct ?

1. α 2 + β 2 + γ 2 = 6
2. αβ + βγ + γα + 1 = 0
3. αβ 2 + βγ 2 + γα 2 + 3 = 0
4. α 2 – β 2 + γ 2 = 4

Correct answer: αβ 2 + βγ 2 + γα 2 + 3 = 0

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