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    Real analysis: show that a continuous function is defined for irrationals

    Let f be a continuous function defined on (a, b). Supposed f(x)=0 for all rational numbers x in (a, b). Prove that f(x)=0 on (a, b). i don't even know where to start...any tips just to point me in the right direction?
    • nps12345
    • Thread
    • Analysis Continuous Function Real analysis
    • Replies: 2
    • Forum: Calculus
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