Mathematics

Ian Armstrong

1 April, 15:58

Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x ≠ a and is continuous at a. (If an answer does not exist, enter DNE.)

(a) f (x) = x4 - 1 x - 1, a = 1 g (x) =

(b) f (x) = x3 - x2 - 56x x - 8, a = 8 g (x) =

(c) f (x) = sin x, a = π (Recall that h (x) means the largest integer that is less than or equal to h (x).) g (x) =