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.
The limit of f (x) as x approaches c is L .. Thus for the limit of a function to exist as the independent variable approaches c, the left-hand and right-hand limits must be equal. if and only if. When we say, then, that a function approaches a limit, we mean that Definition 2.2 has been satisfied.gain, when we say that the values of x approach a limit, that limit is never a value of x. There is always a difference between the values of x and their limit. The limit is the boundary beyond which no member of the sequence will pass. We summarize this in the following definition.