In Exercises 59 and 60, use a graphing utility to graph the function. Use the graph to

Chapter 5, Problem 59

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Exploration In Exercises 59 and 60, use a graphing utility to graph the function. Use the graph to determine the behavior of the function as \(x \rightarrow c\).

(a) \(x \rightarrow \frac{\pi^{+}}{2}\left(\text { as } x \text { approaches } \frac{\pi}{2} \text { from the right }\right)\)

(b) \(x \rightarrow \frac{\pi^{-}}{2}\left(\text { as } x \text { approaches } \frac{\pi}{2} \text { from the left }\right)\)

(c) \(x \rightarrow-\frac{\pi^{+}}{2}\left(\text { as } x \text { approaches }-\frac{\pi}{2} \text { from the right }\right)\)

(d) \(x \rightarrow-\frac{\pi^{-}}{2}\left(\text { as } x \text { approaches }-\frac{\pi}{2} \text { from the left }\right)\)

\(f(x) = \tan x \)

Text Transcription:

x rightarrow frac{pi^{+}}{2}(as x approaches frac{pi}{2} from the right)

x rightarrow frac{pi^{-}}{2}(as x approaches frac{pi}{2} from the left)

x rightarrow-frac{pi^{+}}{2}(as x approaches -frac{pi}{2} from the right )

x rightarrow-frac{pi^{-}}{2}(as x approaches -frac{pi}{2}from the left)

f(x) = tan x

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