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Taylor Series

Taylor Series

The power series in x – a for a function f . Note: If a = 0 the series is called a Maclaurin series.

 

Taylor series formula: sum from k=0 to n of f^(k)(a)/k! times (x-a)^k, expanded showing f(a)+f'(a)(x-a)+f''(a)/2!(x-a)²+...

 

 

See also

Taylor series remainder, convergence tests, power series convergence, sigma notation, factorial, nth derivative