Question

Which of the following is not continuous for all x?

Options

• |x – 1| + |x – 2|

• x² – |x – x³|

• sin |x| + |sin x|

• `cosx/|cosx|`

Answer 1

`bb(cosx/|cosx|)`

Explanation:

`cosx/|cosx|` is not defined at x = `(2n + 1) π/2, ∀  x ∈ I`.

Hence, it is discontinuous.