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Could someone please check my work and let me know if it's correct Please state all definitions and theorems that you will need: am Definition

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Could someone please check my work and let me know if it's correct

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Please state all definitions and theorems that you will need: am Definition 5.4.1 Let f : D - R . We say that f is uniformly continuous on D if for every & > 0 there exists a 6 > 0 such that If(x) - f(y)| 0 and choose o = E 12 . Then for all x, y E [0, 2] and |x - yl

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