Let f(x) = {5² (52–3, 2x, x > 1, x < 1, Does lim f(x) exist? Why or why not? x 3 1. Yes because you are always allowed to evalu- ate limits by just evaluating f at the x value. 2. No because there is a discontinuity in the graph of f. 3. Yes because the graph of f(x) around x = 2 is a line and is therefore continuous. 4. No because the domain of f is not all real numbers.

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