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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- Apr 8th 2007, 05:05 PMslowcurv99continuity 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

- Apr 8th 2007, 05:13 PMJhevon
- Apr 8th 2007, 05:20 PMslowcurv99
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 - Apr 10th 2007, 05:10 PMThePerfectHacker
I have absolutely no idea what your question means.