Maclaurin series by integration (Q2036229)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Maclaurin series by integration |
scientific article; zbMATH DE number 7364019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maclaurin series by integration |
scientific article; zbMATH DE number 7364019 |
Statements
Maclaurin series by integration (English)
0 references
28 June 2021
0 references
Summary: In this note we obtain Maclaurin series of the functions arctan \(x\), \(\ln(1+x)\) and \(\arctan x + \ln \sqrt{1+x^2}\) for \(x \in [0, 1]\) by using integration by parts, and we give explicit integral representations for the error terms in their truncated Maclaurin series.
0 references
