Difference between revisions of "Taylor Series"
From Sean_Carver
(→New Concept: Taylor Series) |
(→New Concept: Taylor Series) |
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* The Taylor Series is derived from the function. | * The Taylor Series is derived from the function. | ||
| − | Definition from | + | Definition adapted from Wikipedia, |
The Taylor series of a function ''ƒ''(''x'') at ''a'' is the power series | The Taylor series of a function ''ƒ''(''x'') at ''a'' is the power series | ||
Revision as of 20:46, 14 March 2011
Review Concepts
- Sequences
- Convergence
- Infinite series
- The sequence of partial sums of an infinite series
- Power series
New Concept: Taylor Series
- Think of Taylor series as a special kind of power series, where the sequence of partial sums are meant as better and better approximations of some other function.
- The Taylor Series is derived from the function.
Definition adapted from Wikipedia,
The Taylor series of a function ƒ(x) at a is the power series
which can be written in the more compact sigma notation as
