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The domain of the real function $$f(x) = \sum_{k=1}^{2008} \frac{1}{\sqrt{|x - k|}}$$ is __________
Correct Answer: 0
PLACEHOLDER ANSWER - the answer is a set. Each term $$\frac{1}{\sqrt{|x - k|}}$$ is defined exactly when $$|x - k| > 0$$, i.e. $$x \ne k$$. So the domain is $$\mathbb{R} - \{1, 2, 3, \ldots, 2008\}$$.
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