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 (x2â1) (xâ1) as x approaches 1 is 2. And it is written in symbols as: So it is a special way of saying, ignoring what happens when we get there, but as we get closer and closer the answer gets closer and closer to 2. As a graph it looks like this: So, in truth, we cannot say what the value at x=1 is. But we can say that as we approach 1, the limit is 2. More Formal But instead of saying a limit equals some value because it looked like it was going to, we can have a more formal definition. So let's start with the general idea. From English to Mathematics. Let's say it in English first: f(x) gets close to some limit as x gets close to some value