Is f(x)=x−2x2−4f(x) = \frac{x-2}{x^2 - 4}f(x)=x2−4x−2 continuous at x=2x = 2x=2?
Yes, because the limit exists
No, because f(2)f(2)f(2) is undefined
Yes, because we can factor and cancel
No, because the left and right limits differ