# How do limits work

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## Limits intro (video)

You can use a limit (which, if it exists, represents a value that the function tends to approach as the independent variable approaches a given number) to look at a function to see

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## How Limits Work with Functions

Limits describe how a function behaves near a point, instead of at that point. This simple yet powerful idea is the basis of all of calculus. To understand what limits are, let's look at an
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## Limit (mathematics)

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## Calculus I

We want to give the answer 2 but can't, so instead mathematicians say exactly what is going on by using the special word limit The limit of (x2−1) (x−1) as x approaches 1 is 2 And it is

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The answer to the equation is 4.

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## An Intuitive Introduction To Limits

Definition. We say that the limit of f (x) f ( x) is L L as x x approaches a a and write this as. lim x→af (x) =L lim x → a f ( x) = L. provided we can make f (x) f ( x) as close to L L as we want for all x x sufficiently close to a

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## Limits intro (article)

In Mathematics, a limit is defined as a value that a function approaches the output for the given input values. Limits are important in calculus and
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