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Sketch a single function with the following properties: 1. lim f(x) exists and f(0) exists, but lim f(x) = f(0). x0 x0 2. lim f(x)

Sketch a single function with the following properties: 1. lim f(x) exists and f(0) exists, but lim f(x) = f(0). x0 x0 2. lim f(x) does not exist. x3 3. f is continuous everywhere else. Explain in a few sentences why your function satisfies these properties

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