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.
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.