- Calculus and Analysis
- Real Analysis
Countable Sets and Limit of Sequence of Functions
Show that there is a countable set F of functions of form
x--->a_0 + a_1cosx + a_2cos(2x) + ... +a_ncos(nx)
such that every continuous real-valued function on [0,pi] is the uniform limit of a sequence of functions (f_n) in F.
Countable Sets and Limit of Sequence of Functions are investigated.