Consider the following statements:
1. The function f(x) = [x], where [.] is the greatest integer function defined on R, is continuous at all points except at x = 0
2. The function f(x) = sin |x| is continuous for all x ϵ R
Which of the above statements is/are correct?1
1 only
2
2 only
3
Both 1 and 2
4
Neither 1 nor 2