Let f be a real valued function defined and continuous on a closed set S in R. Prove that A is a closed set if
A = { x ∈ S : f(x) = 0}
What happens if S is not a closed set?
Let f be a real valued function defined and continuous on a closed set S in R. Prove that A is a closed set if
A = { x ∈ S : f(x) = 0}
What happens if S is not a closed set?
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