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Math Help - Continuity proof?

  1. #1
    Super Member fardeen_gen's Avatar
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    Continuity proof?

    Let f be a continuous real valued function on [0,\infty). Le t A be the set of real numbers 'a' that can be expressed as a = \lim_{n\rightarrow \infty} x_n = \infty. Prove that if A contains two numbers a & b, then it contains the entire interval with end points a & b.
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  2. #2
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    Is there a typo here? How could a real number a=\infty?
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  3. #3
    Super Member fardeen_gen's Avatar
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    I am confused regarding the same thing
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