Mark the correct alternative in each of the following: \( \lim _{x \rightarrow 1} \frac{\sin \pi...

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Mark the correct alternative in each of the following: \( \lim _{x \rightarrow 1} \frac{\sin \pi x}{x-1} \) is equal to
(A) \( -\pi \)
(B) \( \pi \)
(C) \( -\frac{1}{\pi} \)
(D) \( \frac{1}{\pi} \)
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