Limits at infinity are used to describe the behavior of functions as the independent variable increases or decreases without bound. First, note the degree …

There's a third way to find the limits at infinity, and it is even more useful. Whenever we are asked to evaluate the limit of a fraction, we should look at and compare the degree of the numerator and denominator. Infinity and Degree. Like judges at a pompadour competition, we want to know which one is bigger. These rules both make sense in terms of the growth rates for different powers of n, and can be justified with algebra. Here’s what you do. We have seen two examples, one went to 0, the other went to infinity. You can’t have one without the other. If you’ve got a rational function like determining the limit at infinity or negative infinity is the same as finding the location of the horizontal asymptote. Horizontal asymptotes and limits at infinity always go hand in hand. when the degree of the numerator, s, is less than the degree of the denominator, t, the limit is 0; when the degree of the numerator, s, is greater than the degree of the denominator, t, the limit is . In fact many infinite limits are actually quite easy to work out, when we figure out "which way it is going", like this If a function approaches a numerical value L in either of these situations, write


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