Refor to the graph of \( y=f(x) \) to the right to describe the behavior of \( \lim f(x) \). Use \( -\infty \) and \( \infty \) where \( x \rightarrow-2^{+} \) Select the correct chaice below a id fill in any answer boxes in your choice. a. \( \lim _{f(x)}=\propto \) \[ x \rightarrow-2^{\prime} \] b. \( \lim f(x)= \) \( \square \) \[ x \rightarrow-2^{-} \] c. \( \lim _{x \rightarrow \infty} f(x)= \) \( \square \)
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Beyond the Answer
It seems you're asking for a description of the limits based on the behavior of the graph of \( y = f(x) \) as \( x \) approaches -2 from the right and from the left, as well as the limit as \( x \) approaches infinity. Since I can't see the graph, I can guide you on how to fill in the answers based on common scenarios: If, as \( x \) approaches -2 from the right (\( -2^{+} \)), the function \( f(x) \) approaches a specific value \( L \), you would write: a. \( \lim_{x \rightarrow -2^{+}} f(x) = L \) And if, as \( x \) approaches -2 from the left (\( -2^{-} \)), the function approaches the same or a different value, you would fill in: b. \( \lim_{x \rightarrow -2^{-}} f(x) = K \) Where \( K \) could be equal to \( L \) or potentially a different limit, depending on the behavior of the graph. Finally, if as \( x \) approaches infinity the function approaches a horizontal asymptote or some specific value \( M \), you would state: c. \( \lim_{x \rightarrow \infty} f(x) = M \) Make sure to replace \( L \), \( K \), and \( M \) with the actual values indicated by the graph! Have fun with your analysis!
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