Taylor Series- representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point
Taylor's Theorem:
Let k ≥ 1 be an integer and let the function f : R → R be k times differentiable at the point a ∈ R. Then there exists a function hk : R → R such that
Let k ≥ 1 be an integer and let the function f : R → R be k times differentiable at the point a ∈ R. Then there exists a function hk : R → R such that
The Taylor Series for a function f(x) which has derivatives of all orders at a a point a is given by:
Maclaurin Series- a Taylor series that is centered around 0
Common Maclaurin Series:
