 In this video, we present the solution to question number two for practice exam number two for math 12-10 In which case we're asked to compute the limit as x approaches 2 of the function x squared minus 3x plus 1 over x plus 1 now because of continuity Oftentimes we can just plug in the number x equals 2 to compute the limit in this situation It could be given this as a rational function. The denominator goes to 0 So that's what we're that's what we're worried about right here if we just plug in x equals 2 You'll notice that the denominator you get 2 plus 1 which is going to turn out to be a 3 there's actually no problem about division by 0 here, so the The limit calculation will just be the function valuation as well So we'll plug in two into the numerator as well So we get 2 squared minus 3 times 2 plus 1 2 squared is a 4 3 times 2 is a negative 6 plus 1 So it's in which case we see that 4 minus 6 is a negative 2 plus 1 Negative 2 plus 1 is going to be a negative 1 so it looks like we get negative 1 third which gives us choice e