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Exercise 9.4.4 (Exponentiation is continuous, II)

Prove Proposition 9.4.11.

Proposition 9.4.11 (Exponentiation is continuous, II). Let $p$ be a real number. Then the function $f : (0, \infty) \to R$ defined by $f (x) : = x^{p}$ is continuous.

Exercise 9.4.4 (Exponentiation is continuous, II)

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