2. [-/2 Points] DETAILS SCALC8 1.5.002. Explain what it means to say that x -+ 3" lim f(x) = 7 and lim f(x) = 9. x - 3+ O As x approaches 3, f(x) approaches 7, but f(3) = 9. O As x approaches 3 from the left, f(x) approaches 7. As x approaches 3 from the right, f(x) approaches 9. O As x approaches 3, f(x) approaches 9, but f(3) = 7. O As x approaches 3 from the right, f(x) approaches 7. As x approaches 3 from the left, f(x) approaches 9. In this situation is it possible that lim f(x) exists? Explain. x -3 Yes, f(x) could have a hole at (3, 7) and be defined such that f(3) = 9. Yes, f(x) could have a hole at (3, 9) and be defined such that f(3) = 7. Yes, if f(x) has a vertical asymptote at x = 3, it can be defined such that lim f(x) = 7, lim ((x) = 9, and lim f(x) exists. x- 3 x -3 x - 3 No, lim f(x) cannot exist if lim f(x) # lim f(x). x -+ 3 x -+ 3 x -+ 3+