A function f () is continuous at a = c if lim f(x) = f(c). x -+C Consider the function f(x) =0 Jinx ifx1 which is not continuous at x = 0. if x = 1 What is the reason that f(a ) is not continuous at a = 0? (Choose just one option.) Both lim f(x) and lim f(x) exist (and are therefore finite) but lim f(x) * lim f(x). I-0 I-+0 O f(0) is not defined. O Either or both of lim f(x) and lim f(x) are not finite and therefore do not exist. I-+0+ O lim f(a) exists but this limit is not equal to f (0)