### Definition of a Limit

Let f(x) be any function and let *a* and *L* be numbers. If we can make *f(x)* as close to *L* as we please by choosing *x* sufficiently close to *a*, then we say that the limit of f*(x)* as x approaches *a* is *L* or symbolically,

### Theorems on Limits

- , c=any constant
- , a=any real number
- , n=any positive integer and f(x)>0 if n is even.

SOURCE: Differential and Integral Calculus by Feliciano and Uy