Let \( \alpha \in R \) be such that the function is continuous at \( x=0 \), where \( \{x\}=x-[x...

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Let \( \alpha \in R \) be such that the function
is continuous at \( x=0 \), where \( \{x\}=x-[x],[x] \) is the greatest integer less or equal to \( x \). Then
(a) \( \alpha=\frac{\pi}{\sqrt{2}} \)
(b) \( \alpha=0 \)
(c) No such \( \alpha \) exists
(d) \( \alpha=\frac{\pi}{4} \)
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