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

Explanation

Let `g(x) = |x|` and h(x) = sin x
We know that g(x) = |x| is continuous for x `in` R.
and h(x) = cos x is also continuous for each x `in` R.
Now (hog) (x) = h`[g(x)] = h [|x|] = sin|x|`
`:'` g(x) and h(x) both are continuous functions.
`:.` Composite function (hog) (x) is also a continuous function.
`rArr sin |x|` is continuous for all x `in` R.