Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that

Question

3 years ago

9

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) =

Mathematics