Prove that the function ƒ : (0, ∞) → R defined by ƒ(x) = x³/² = (√x)³ is not uniformly continuous. Use the "sequential" Definition of Uniform Continuity in §3.4. Hint: One way to prove this is to let un = (n + 2)² and v₁ = n².

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A: I have explained everything with in the solution. Please go through that.

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