Mark the correct alternative in each of the following: If \( f(x)=x \sin (1 / x), x \neq 0 \), t...

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Mark the correct alternative in each of the following:
If \( f(x)=x \sin (1 / x), x \neq 0 \), then \( \lim _{x \rightarrow 0} f(x)= \)
(A) 1
(B) \( -1 \)
(C) does not exist
(D) undefined
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