If \( f(x)=x \sin \frac{1}{x}, x \neq 0 \), then the value of the f...

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If \( f(x)=x \sin \frac{1}{x}, x \neq 0 \), then the value of the function at \( x=0 \), so that the function is continuous at \( x=0 \), is
(a) 0
(b) \( -1 \)
(c) 1
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