Evaluate `lim_(xtooo) (sinx)/(x).`

Explanation

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

### Step 1: Analyze the function
We start with the function \(\frac{\sin x}{x}\). As \(x\) approaches infinity, we need to consider the behavior of both the numerator and the denominator.

### Step 2: Behavior of \(\sin x\)
The sine function oscillates between -1 and 1 for all values of \(x\). Therefore, we have:
\[
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