Science:Math Exam Resources/Courses/MATH100/December 2011/Question 01 (a)/Hint 2

Evaluating at -2 gives 0/0 which is undefined. This means we just don't know anything about what the limit might be (it could be anything). So we need to deal with that. Notice that the function is a rational function (a fraction with polynomials in both numerator and denominator), since each are 0 at t=-2, it means that -2 is a root of each and hence, they can be factorized.