Mark the correct alternative in each of the following: If \( f(x)=\left\{\begin{array}{cc}x \sin...

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SiN (1998)
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Mark the correct alternative in each of the following:
If \( f(x)=\left\{\begin{array}{cc}x \sin \frac{1}{x}, & x \neq 0 \\ 0, & x=0\end{array}\right. \), then \( \lim _{x \rightarrow 0} f(x) \) equals
(A) 1
(B) \( -1 \)
(C) none of these.
(D) undefined
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