(Section 2.3: Limits and Infinity I) 2.3.2 PART C: HORIZONTAL ASYMPTOTES (HAs) and “LONG-RUN” LIMITSExample 1 (Reciprocal Function: A Graph with One HA)Let fx()=1x. Consider the graph of y=. (Figure 2.3.a) Let’s experiment with a table: x±²³±100±10±1110100±²=1x0±±1100±110±111101100±0We will refer to limxand limxas “long-run” limits. Here, we can write: limx=0. In words: “the limit of as xapproaches infinity is 0.”
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