Brief Calculus (1)
Homework: Homework 3
3.2.9
Find all values x = a where the function is discontinuous. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit doesn't exist.
f(x) = (x^2 - 64) / (x - 8)
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
(Use a comma to separate answers as needed.)
A. f is discontinuous at the two values x = . The limit for the smaller value is . The limit for the larger value does not exist and is not inf or -inf.
B. f is discontinuous at the two values x = . The limit for the smaller value is . The limit for the larger value is .
C. f is discontinuous over the interval . The limit is .
(Type your answer in interval notation.)
D. f is continuous for all values of x.
E. f is discontinuous at the two values x = . The limit for the smaller value does not exist and is not inf or -inf. The limit for the larger value is .
F. f is discontinuous at the single value x = . The limit is .
G. f is discontinuous at the single value x = . The limit does not exist and is not inf or -inf.
H. f is discontinuous over the interval . The limit does not exist and is not inf or -inf.
(Type your answer in interval notation.)
I. f is discontinuous at the two values x = . The limit for both values do not exist and are not inf or -inf.