Explain

Finding the limit of a rational function Suppose that p(I) and q(I) are polynomials. The expression lim P(I) L means that as a gets very close to a -- without being a, the output I a q(x) P(I) gets very close to L. How to find L? q(I) . If q(a) # 0, then L - P(a) That's simply the evaluation of the function at a. q(a) . If p(a) = 0 and q(a) = 0, then p(I) and q(I) have a common factor. Factor both polynomials and cancel the common factors out. Then L is the limit of the equivalent function, . If p(a) # 0 and q(a) = 0, find the one-sided limits and compare then Practice 5 1. f(x) = f (5) lim f(x) 1 5 2. f(I) f (5) lim f(2)