Question

How would you "remove the discontinuity" of f? In other words, how would you define
f(2) in order to make f continuous at 2?
f(x) = x^2 − x − 2/x − 2

Answer 1

You would first write it correctly so that it makes sense.

f(x) = (x^2 - x - 2) / (x - 2)

The, factor the numerator. You should see it.

Answer 2

this is a fancy way of asking you to find
\[\lim_{x\to 2}\frac{x^2-x-2}{x-2}\]
factor and cancel

Answer 3

thanks!!