Question

Which type of discontinuity exists at x = 2 for f(x)=x^2−4/x−2?

removable discontinuity

jump discontinuity

infinite discontinuity

none of the above

Answer 1

hint:
we can factor the numerator as follows:
\[\Large {x^2} - 4 = \left( {x - 2} \right)\left( {x + 2} \right)\]

Answer 2

factorize*