Due date: November 17
For each , let . Then
For , the sequence as .
Let with .
- The Fourier series of f converges uniformly to f.
Let and the open set
- If E is compact, .
- However, the previous conclusion may be false if either E is closed and unbounded, or bounded and open.
Let E be the subset of of numbers which do not have the digit 4 in their decimal expansion. Find .