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)
The bottom I set it equal to zero and it's 2 DNE. In the back of the book it also list 4 as one of the answers. Where did the 4 come from? Is it from (x^2 - 4), I set it equal to zero and I get 4.
My teacher did an example f(x) (x^2 - 25) / (x+5) and she got x=-5. Wouldn't 25 be another answer?