A tornado is a violent rotating column of air extending from a thunderstorm to the ground. The most violent tornadoes are capable of tremendous destruction with wind speeds of up to 300 mph. They can destroy large buildings, uproot trees and hurl vehicles hundreds of yards. They can also drive straw into trees.
In the previous section we saw limits that were infinity and itâs now time to take a look at limits at infinity. By limits at infinity we mean one of the following two limits. In other words, we are going to be looking at what happens to a function if we let x get very large in either the positive or negative sense.
In this section weâre going to be taking a look at the precise, mathematical definition of the three kinds of limits we looked at in this chapter. Weâll be looking at the precise definition of limits at finite points that have finite values, limits that are infinity and limits at infinity. Weâll also give the precise, mathematical definition of continuity. Letâs start this section out with the definition of a limit at a finite point that has a finite value. Definition 1 Let f(x) be a function defined on an interval that contains, except possibly at.