Write the value of `lim_(x->pi)(sinx)/(x-pi)`

Explanation

To solve the limit \( \lim_{x \to \pi} \frac{\sin x}{x - \pi} \), we can follow these steps:

### Step 1: Substitute \( x \) with \( \pi \)
When we directly substitute \( x = \pi \) into the expression, we get:
\[ \frac{\sin(\pi)}{\pi - \pi} = \frac{0}{0} \]
This is an indeterminate form, so we need to manipulate the expression further.
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