I am stumped with this question.
Suppose that ƒ: (a,b)→R is continuous and that ƒ(r)=0 for every rational number r in (a,b). Prove that ƒ(x)=0 for all x in (a,b)
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I am stumped with this question.
Suppose that ƒ: (a,b)→R is continuous and that ƒ(r)=0 for every rational number r in (a,b). Prove that ƒ(x)=0 for all x in (a,b)
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