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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: Definition 5.4.1

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

Please state all definitions and theorems that you will need: 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(2) - f(y) | > 0 , letac = and y = x+ for some positive integer, n. Then, if x, y E (0, 2) and |x - y| = 2 S = = E Thus f is NOT uniformly continuous on (0, 2) by definition 5.4.1

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