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.
Note that we really do need to do the right-hand limit here. We know that the natural logarithm is only defined for positive x and so this is the only limit that makes any sense. Now, in the limit, we get the indeterminate form . LâHospitalâs Rule wonât work on products, it only works on quotients. However, we can turn this into a fraction if we rewrite things a little. The function is the same, just rewritten, and the limit is now in the form and we can now use LâHospitalâs Rule. Now, this is a mess, but it cleans up nicely.