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Formula:663

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Digital Library of Mathematical Functions ID 2.1.E9

e z = 1 + z + O ⁡ ( z 2 ) , superscript 𝑒 𝑧 1 𝑧 Big-O superscript 𝑧 2 {\displaystyle{\displaystyle e^{z}=1+z+O\left(z^{2}\right),}}


Constraint(s)

ℂ {\displaystyle{\displaystyle\mathbb{C}}}
z → 0 → 𝑧 0 {\displaystyle{\displaystyle z\to 0}}
ℂ ℂ {\displaystyle{\displaystyle\mathbb{C}}}

Symbols List

  • O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}} : order not exceeding
  • ℂ {\displaystyle{\displaystyle\mathbb{C}}} :
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:34.
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