The following statements are all false. Explain why clearly (using words, counterexamples and/ or graphs wherever applicable). This exercise is graded differently. Each part is worth 3 points, partial credit is possible. 1. If lim f(x) = L, then f(a) = L x-> a 2. If lim f(x) = L, then lim f(x) = L ac-rat 3. If f is not continuous at x = a, then lim f (x) does not exist. 4. If lim f (x) = L and lim g(x) = L, then f(a) = g(a) x- a x-> a 5. If g(a) = 0 then the limit lim f (ac) does not exist