What exactly is a limit precalculus?

A limit is a value that a function approaches as it approaches some input. It is a very important concept in calculus and mathematical analysis, as limits are used to define continuity, derivatives, and integrals. 

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What are some of the most common ways to determine a limit?

To evaluate a limit, we usually use the same rules as we do to find a function, such as the rules of substitution. In some cases, we can use direct substitution; however, in others, we may need to factor the function or find the least common denominator (LCD). 

What are some other useful methods for determining a limit?

When a function has a root, we can evaluate its limit by finding the conjugate of the root. This method may be especially useful when a function has two terms that are not evaluated directly. Often, we can simplify the function by multiplying the numerator and denominator by the least common denominator (LCD). 

How can you determine the limit of a function with a single negative term?

If the negative term has a lower degree than the positive term, we can evaluate its limit by substituting for infinity. If the negative term has a higher degree than the positive term, we can also evaluate its limit by substituting for infinity. 

How can you determine the limit of the function f(x)=x+2?

We can use a table feature on a calculator to create a table of values for the function. We can then use this table to estimate the limit. Then we can graph the function to confirm our result graphically. 

We can also use the properties of limits, which is a collection of theorems about limits. These theorems help us to determine a limit more efficiently than we can by graphing or exploring a table of values.