1. The problem statement, all variables and given/known data Explain in your own words what: lim f(x) = 5 x→2 means. 2. Relevant equations None 3. The attempt at a solution I wrote: "As x approaches 2, the limit of the function f(x) is 5 (in other words, f(x) approaches 5). The value of the function that is limited can be different than the limit of the function itself." But I do not know if there can be a function value but with an undefined limit. I also want to say above that a function value may or may not be the same as the limit, and that either value may be undefined. But I don't know for sure if that is true. For example, what is: lim f(x) if f(x) = x (in other words, if y = x) x→1 Above we have a straight line graph with a slope of 1, and a y-intercept of 0. But is the limit really 1? Even though the graph goes right through f(x) = 1?