Consider the following statements:
1. f(x) = [x], where [.] is the greatest integer function, is discontinuous at x = n, where n ϵ Z.
2. f(x) = cot x is discontinuous at x = nπ, where n ϵ Z.
Which of the above statements is/are correct?1
1 only
2
2 only
3
Both 1 and 2
4
Neither 1 nor 2