| Taylor Expansion | ||||
 | ||||
|
If a function
where  When this expansion converges over a certain range of If
 |
has continuous derivatives up to (n+1)th order, then this function can be expanded in the following fashion:
, called the remainder after n+1 terms, is given by:
, that is,
, then the expansion is called the Taylor Series of 
.
the series is called the MacLaurin Series:
| Some Useful Taylor Series | |||
| |||
|
|
| Taylor Expansion | ||||
| ||||
|
If a function
where When this expansion converges over a certain range of If
|
| Some Useful Taylor Series | |||
| |||
|
|