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Could a function with these properties exist?:f(X) is continuous everywhere, and

  • f(X) is differentiable everywhere expect at the integers x= 0, ±1, ±2, ±3, ±4

If it COULD, explain why, citing any major theorems used. If it could NOT, give a counterexample to show it is false.

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Subject: Calculus, Math
Could a function with these properties exist?
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