DLMF:2.1.E9 (Q693): Difference between revisions

From DRMF

Jump to navigation Jump to search

← Older edit

Revision as of 16:51, 30 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 16:47, 1 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
(3 intermediate revisions by the same user not shown)
		Property / constraint
			${\displaystyle{\displaystyle\mathbb{C}}}$ \mathbb{C}
		Property / constraint: ${\displaystyle{\displaystyle\mathbb{C}}}$ / rank
			Normal rank
		Property / Symbols used
			order not exceeding
		Property / Symbols used: order not exceeding / rank
			Normal rank
		Property / Symbols used: order not exceeding / qualifier
			Defining formula: ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$ \bigO@{\NVar{x}}
		Property / Symbols used: order not exceeding / qualifier
			xml-id: C2.S1.E3.m2addec
		Property / Symbols used
			Q10923
		Property / Symbols used: Q10923 / rank
			Normal rank
		Property / Symbols used: Q10923 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathbb{C}}}$ \Complexes
		Property / Symbols used: Q10923 / qualifier
			xml-id: introduction.Sx4.p1.t1.r1.m2abdec
		Property / Symbols used
			base of natural logarithm
		Property / Symbols used: base of natural logarithm / rank
			Normal rank
		Property / Symbols used: base of natural logarithm / qualifier
			Defining formula: ${\displaystyle{\displaystyle\mathrm{e}}}$ \expe
		Property / Symbols used: base of natural logarithm / qualifier
			xml-id: C4.S2.E11.m2abdec

---

Latest revision as of 16:47, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:2.1.E9	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle e^{z}=1+z+O\left(z^{2}\right),}}$

0 references

DLMF id

DLMF:2.1.E9

0 references

constraint

${\displaystyle{\displaystyle\mathbb{C}}}$

0 references

${\displaystyle{\displaystyle z\to 0}}$

0 references

${\displaystyle{\displaystyle\mathbb{C}}}$

0 references

Symbols used

order not exceeding

Defining formula

${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$

xml-id

C2.S1.E3.m2addec

0 references

Q10923

Defining formula

${\displaystyle{\displaystyle\mathbb{C}}}$

xml-id

introduction.Sx4.p1.t1.r1.m2abdec

0 references

base of natural logarithm

Defining formula

${\displaystyle{\displaystyle\mathrm{e}}}$

xml-id

C4.S2.E11.m2abdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q693&oldid=23973"