âThe Cask of Amontilladoâ (1846) Summary. The narrator, Montresor, opens the story by stating that he has been irreparably insulted by his acquaintance, Fortunato, and that he seeks revenge. He wants to exact this revenge, however, in a measured way, without placing himself at risk. He decides to use Fortunatoâs fondness for wine against him.
The first, which shows that the limit DOES exist, is if the graph has a hole in the line, with a point for that value of x on a different value of y. If this happens, then the limit exists, though it has a different value for the function than the value for the limit. Please click on the image for a better understanding.
We say the function has a limit L at an input p: this means f (x) gets closer and closer to L as x moves closer and closer to p. More specifically, when f is applied to any input sufficiently close to p, the output value is forced arbitrarily close to L.he function f is continuous at p if and only if the limit of f (x) as x approaches p exists and is equal to f (p). If f: M â N is a function between metric spaces M and N, then it is equivalent that f transforms every sequence in M which converges towards p into a sequence in N which converges towards f (p).