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Math Help - continuity proof

  1. #1
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    continuity proof

    1)
    Define f: R -> R by f(x) = x^2 - 3x + 5. Use the definition of continuity to prove that f is continuous at 2

    2)
    Prove or give a counterexample: Every sequence of real numbers is a continuous function
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by slowcurv99 View Post
    1)
    Define f: R -> R by f(x) = x^2 - 3x + 5. Use the definition of continuity to prove that f is continuous at 2

    2)
    Prove or give a counterexample: Every sequence of real numbers is a continuous function
    there are several definitions for continuity of a function, which are you using in class?
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  3. #3
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    Let f: D->R and let c be an element of D. We say that f is continuous at c if for every e>0 there exists a q>0 such that |f(x) - f(c)| < e whenever |x-c| < q and x is an elemend of D.
    If f si continuous at each point of a subset S of D, then f is said to be continuous on S. If f is continuous on its domain D, then f is said to be continuous
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  4. #4
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    I have absolutely no idea what your question means.
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