Let ? : R ?? R be a continuous function and X a subset of...
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Let ? : R ?? R be a continuous function and X a subset of R withclosure X' such that ?(x) = 1 for any x ? X. Prove that ?(x) = 1for all x ? X.'
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Let be a continuous functionand with closure such thatProve that Solution with closure Therefore every point of is a point of closure ofSo by
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