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5. (10 points) Prove that the function f : (0, co) -> R defined by 1 f (x) = 7 1+ 23 satisfies the c-6

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5. (10 points) Prove that the function f : (0, co) -> R defined by 1 f (x) = 7 1+ 23 satisfies the c-6 criterion of uniform continuity (see Theorem 3.22 in $3.5). Hint: You may use the following inequality without proving it: For any r, y > 0, (x + y)2

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