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Real Analysis
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Let $f(x) = \frac{1}{x}$. Find the limit of $f(x)$ as $x$ approaches 0.
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A
Does not exist
💡 Explanation:
The limit of $f(x)$ as $x$ approaches 0 does not exist because the function approaches both positive and negative infinity as $x$ approaches 0 from the positive and negative sides, respectively.