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.
PRECISE LIMITS OF FUNCTIONS AS X APPROACHES A CONSTANT. The following problems require the use of the precise definition of limits of functions as x approaches a constant. Most problems are average. A few are somewhat challenging. We will begin with the precise definition of the limit of a function as x approaches a constant. DEFINITION: The statement has the following precise definition. Given any real number , there exists another real number so that