Math 22 Limits

The Limit of a Function

 Definition of the Limit of a Function
 If $f(x)$ becomes arbitrarily close to a single number $L$ as $x$ approaches $c$ from either side, then
 $\lim _{x\to c}f(x)=L$
 which is read as "the limit of $f(x)$ as $x$ approaches $c$ is $L$

Note: Many times the limit of $f(x)$ as $x$ approaches $c$ is simply $f(c)$, so limit can be evaluate by direct substitution as $\lim _{x\to c}f(x)=f(c)$

Some Basic Limits

 For $b,c,n$ are constant.
 1. $lim_{x\to c}b=b$
 
 2. $lim_{x\to c}x=c$
 
 3. $lim_{x\to c}x^{n}=c^{n}$

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This page were made by Tri Phan