English-Finnish translations for Taylor series

Definition of Taylor series

  • A power series representation of given infinitely differentiable function \textstyle f whose terms are calculated from the function's arbitrary order derivatives at given reference point \textstyle a; the series \textstyle f+\frac {f'}{1!} + \frac{f''}{2!} ^2+\frac{f'''}{3!}^3+ \cdots = \sum_{n=0} ^ {\infty} \frac {f^{}}{n!} ^{n}

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