Taylor's series

A form of Taylor series — A power series representation of given infinitely differentiable function f whose terms are calculated from the function's arbitrary order derivatives at given reference point a; the series f(a)+(f'(a))/(1!)(x-a)+(f(a))/(2!)(x-a)²+(f'(a))/(3!)(x-a)³+⋯=∑ₙ₌₀∞(f⁽ⁿ⁾(a))/(n!)(x-a)ⁿ.

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Meanings

nounTaylor's series (plural Taylor's series)
  1. alternativeAlternative form of Taylor series.
Cite this entry
APA

Taylor's series. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Taylor's%20series

MLA

“Taylor's series.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Taylor's%20series. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Taylor's series,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Taylor's%20series.

Source: Taylor's series on Wiktionary, CC BY-SA 4.0.