Examine that sin `| x |` is a continuous function.

Explanation

To examine whether the function \( f(x) = \sin |x| \) is continuous, we can follow these steps:

### Step 1: Identify the component functions
We know that \( f(x) = \sin |x| \). We can express this as a composition of two functions:
- Let \( g(x) = \sin x \)
- Let \( h(x) = |x| \)

### Step 2: Check the continuity of the component functions
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