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Sequences and Series of Functions
| Content Provider | Scilit |
|---|---|
| Author | Junghenn, Hugo D. |
| Copyright Year | 2015 |
| Description | The following theorem is an immediate consequence of 2.1.11 and 3.1.9. 7.1.2 Theorem. Let fn → f and gn → g pointwise on S and let h be continuous such that h ◦ fn and h ◦ f are defined on S. Then, for α, β ∈ R, αfn + βgn → αf + βg, fngn → fg, fn gn → f g (if g 6= 0) and h ◦ fn → h ◦ f pointwise on S. Book Name: A Course in Real Analysis |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2013-0-20169-6&isbn=9780429160561&doi=10.1201/b18085-13&format=pdf |
| Ending Page | 252 |
| Page Count | 36 |
| Starting Page | 217 |
| DOI | 10.1201/b18085-13 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2015-02-13 |
| Access Restriction | Open |
| Subject Keyword | Book Name: A Course in Real Analysis History and Philosophy of Science Functions Immediate Theorem |
| Content Type | Text |
| Resource Type | Chapter |
