A Limit is the height a function Intends to reach at a given x value, whether or not it actually reaches it (Kelly 57). By using f(x), a, and L we say that, “the Limit of f(x), as x approaches a, equals L” (Stewart 91).

Which in English means, we can make f(x) as close to L as we can by taking x sufficiently close to a, but not equal to a (Stewart 91).

Now Limits have certain rules to follow if they want to be Limits. First, the Limit of a point only exists when the limits from the approaching the point from the left

Limits are an integral part of calculus. Understanding them takes them and practice. With studying by reference books and by asking your teacher questions you should be able to understand Limits with easy.

Vertical Asymptotes are represented like this.

There are many ways to solve for limits. In the next few paragraphs, we will explore solving limits by substituting, factoring, using asymptotes, and limit theorems. We will also learn how to evaluate limits at infinity, first through Substitution.

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