Consider the following statements:

I: If f(x) = sin x . cos x, then f(x) is continuous function.

II: If f(x) = ∣x∣, then f(x) discontinuous at x = 0. 

Which of the following statement(s) is/are correct?

1
Only I
2
Only II
3
Both I and II
4
Neither I nor II

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