If \( f(x)=\left\{\begin{array}{r}1 \text {, when } 0x \leq \frac{3...

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If \( f(x)=\left\{\begin{array}{r}1 \text {, when } 0x \leq \frac{3 \pi}{4} \\ 2 \sin \frac{2}{9} x \text {, when } \frac{3 \pi}{4}x\pi\end{array}\right. \),
\( \mathrm{P} \)
(1) \( f(x) \) is continuous at \( x=0 \)
(2) \( \mathrm{f}(\mathrm{x}) \) is continuous at \( \mathrm{x}=\pi \)
(3) \( f(x) \) is continuous at \( x=\frac{3 \pi}{4} \)
(4) \( f(x) \) is discontinuous at \( x=\frac{3 \pi}{4} \)
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