A function f(x) is continuous at x = c if lim f(x) = f(c). if x + 0 Consider the function f(x) which is not continuous at x = = 0. if x = 0 What is the reason that f(x) is not continuous at x 0?...

Extracted text: A function f(x) is continuous at x = c if lim f(x) = f(c). if x + 0 Consider the function f(x) which is not continuous at x = = 0. if x = 0 What is the reason that f(x) is not continuous at x 0? (Choose just one option.) O lim f(x) exists but this limit is not equal to f(0). O f(0) is not defined. Both lim f(x) and lim f(x) exist (and are therefore finite) but lim f(x)7 lim f(x). x→0+ x→0 Either or both of lim f(x) and lim f(x) do not exist.