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) = 3x^2 + 7x + 1
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 continuous for all values of x.
B. 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 ∞ or -∞.
C. f is discontinuous at the two values x = . The limit for the smaller value is . The limit for the larger value is .
D. f is discontinuous at the two values x = . The limit for the smaller value does not exist and is not ∞ or -∞. The limit for the larger value is .
E. f is discontinuous at the single value x = . The limit does not exist and is not ∞ or -∞.
F. f is discontinuous over the interval . The limit does not exist and is not ∞ or -∞. (Type your answer in interval notation.)
G. f is discontinuous at the single value x = . The limit is .
H. f is discontinuous at the two values x = . The limit for both values do not exist and are not ∞ or -∞.
I. f is discontinuous over the interval . The limit is . (Type your answer in interval notation.)