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For $x \in[0, \pi / 2], \alpha$ for which $\sin (x) \geq x-\alpha x^{3}$ is

  1. $\alpha>1 /(2 \pi)$
  2. $\alpha \geq 1 / 6$
  3. $\alpha \leq 1 /(2 \pi)$
  4. $\alpha=1 / 4$
  5. None of the above
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