\[ \text { If } f(x)=\left\{\begin{array}{ll} x \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, ...
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0\[
\text { If } f(x)=\left\{\begin{array}{ll}
x \sin \left(\frac{1}{x}\right), & x \neq 0 \\
0, & x=0
\end{array}\right.
\]
\( \lim _{x \rightarrow 0} f(x) \)
(A) is equal to 1
(B) is equal to \( -1 \)
(C) is equal to 0
(D) does not exist
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