Let KCR be compact and f: K→ R. Suppose that for each x E K there exists x > 0 such that f is bounded on Kn N₂(x). Prove that f is bounded on K.

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Q: Consider the functions C: R → R and S: R → R defined by 00 C(x) = Σ n=0 2n (-1)" x ² (2n)! Use the…

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