Single Variable Calculus

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Single Variable Calculus, Chapter 2, 2.2, Section 2.2, Problem 12

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The following function is given, sketch a graph and determine the values of $a$ for which $\lim \limits_{x \to a} f(x)$ exists:

Referring to the graph, we can say that the $\lim \limits_{x \to a} f(x)$ exist for all except for $a = \pm 1$.

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