MAT 212 Lecture 23: 8.7 Taylor and Maclaurin Series Notes
Document Summary
8. 7 taylor and maclaurin series notes: sterling. Provide a generalization to each of the key terms listed in this section. The taylor series occurs when you have a function, which is f , has a power series expansion representation at a if the following occurs: f (x) = If that is the case, then the following formula would occur if the coe cients were properly given: cn = f n (a) n! If that is the general case, then that would mean that the function, which is f (x) would have the following if f (x) has a power series: f (x) = X n=0 f n (a) n! (x a)n = f (a) + f (a) The previous would be considered to be f (x)"s taylor series while it is either at about a or even centered at a. When it comes to any case when a = 0, then it would be considered to be f (x)"s.
