Countable Sets and Limit of Sequence of Functions
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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.
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Solution Summary
The Solution finds a countable set and the limit of sequence of functions.
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