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Sequences and Series of Functions
| Content Provider | Scilit |
|---|---|
| Author | Kumar, Ajit Kumaresan, S. |
| Copyright Year | 2014 |
| Description | In this chapter, we shall deal with convergence of sequence of functions. Let X be a nonempty set, not necessarily a subset of R. Let fn : X → R be a function, n ∈ N. We then say (fn) is a sequence of functions on X. Example 7.0.1. Let X = [0, 1]. Define fn(x) := x/n, x ∈ [0, 1]. Then (fn) is a sequence of functions on [0, 1]. Book Name: A Course in Real Analysis |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2013-0-19684-5&isbn=9780429156526&doi=10.1201/b16440-12&format=pdf |
| Ending Page | 290 |
| Page Count | 50 |
| Starting Page | 241 |
| DOI | 10.1201/b16440-12 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2014-01-10 |
| Access Restriction | Open |
| Subject Keyword | Book Name: A Course in Real Analysis History and Philosophy of Science Convergence X/n Nonempty Set Series of Functions Necessarily Define Fn |
| Content Type | Text |
| Resource Type | Chapter |
