Question

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. \(f(x) = \frac{x^2 - 4}{x - 2}\) 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 single value \(x = \) . The limit is . B. \(f\) is discontinuous at the single value \(x = \) . The limit does not exist and is not \(\infty\) or \(-\infty\). 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 is . The limit for the larger value does not exist and is not \(\infty\) or \(-\infty\). E. \(f\) is discontinuous at the two values \(x = \) . The limit for the smaller value does not exist and is not \(\infty\) or \(-\infty\). The limit for the larger value is . F. \(f\) is discontinuous over the interval . The limit is . (Type your answer in interval notation.) G. \(f\) is discontinuous over the interval . The limit does not exist and is not \(\infty\) or \(-\infty\).

          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.
\(f(x) = \frac{x^2 - 4}{x - 2}\)
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 single value \(x = \) . The limit is .
B. \(f\) is discontinuous at the single value \(x = \) . The limit does not exist and is not \(\infty\) or \(-\infty\).
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 is . The limit for the larger value does not exist and is not \(\infty\) or \(-\infty\).
E. \(f\) is discontinuous at the two values \(x = \) . The limit for the smaller value does not exist and is not \(\infty\) or \(-\infty\). The limit for the larger value is .
F. \(f\) is discontinuous over the interval . The limit is .
(Type your answer in interval notation.)
G. \(f\) is discontinuous over the interval . The limit does not exist and is not \(\infty\) or \(-\infty\).

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 - 4)/(x - 2)
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 single value x = . The limit is .
B. f is discontinuous at the single value x = . The limit 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 is . The limit for the larger value does not exist and is not ∞ or -∞.
E. 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 .
F. f is discontinuous over the interval . The limit is .
(Type your answer in interval notation.)
G. f is discontinuous over the interval . The limit does not exist and is not ∞ or -∞.

Added by Victor R.

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