Waiting for answer This question has not been answered yet. You can hire a professional tutor to get the answer.
QUESTION
A set S of real numbers is called dense, if every (non-empty) open interval (a, b) contains at least one element of S. Fix now a dense set S. Find,...
A set S of real numbers is called dense, if every (non-empty) open interval (a, b) contains at least one element of S.
Fix now a dense set S. Find, with justification, all continuous functions f : R → R such that f(x) = 0 for all x in S.
