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Taylor Polynomial

Taylor Polynomial
nth Degree Taylor Polynomial

An approximation of a function using terms from the function's Taylor series. An nth degree Taylor polynomial uses all the Taylor series terms up to and including the term using the nth derivative.

 

nth degree Taylor polynomial formula: sum from k=0 to n of f^(k)(a)/k! (x-a)^k = f(a) + f'(a)(x-a) + f''(a)/2!(x-a)² +...

 

 

See also

Taylor series remainder, sigma notation, factorial, nth derivative