(Section 2.3: Limits and Infinity I) 2.3.4 Example 3 (A Graph with No HAs)Let fx()=x+3. (Figure 2.3.c) We can write: limx±²=². This is because, as xincreases without bound, the function values also (generally) increase without bound. Note: The use of “=” here may be technically inappropriate, but it is commonly accepted. Similarly, limx±²³=²³. This is because, as xdecreases without bound, the function values also (generally) decrease without bound. Because neither long-run limit exists, the graph has no HAs. Example 4 (Another Way for a Long-Run Limit to Not Exist)
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