CalcNotes0203-page2

CalcNotes0203-page2 - (Section 2.3 Limits and Infinity I...

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(Section 2.3: Limits and Infinity I) 2.3.2 PART C: HORIZONTAL ASYMPTOTES (HAs) and “LONG-RUN” LIMITS Example 1 (Reciprocal Function: A Graph with One HA) Let fx () = 1 x . Consider the graph of y = . (Figure 2.3.a) Let’s experiment with a table: x ±²³ ± 100 ± 10 ± 1 1 10 100 ±² = 1 x 0 ± ± 1 100 ± 1 10 ± 1 1 1 10 1 100 ± 0 We will refer to lim x and lim x as “long-run” limits . Here, we can write: lim x = 0 . In words: “the limit of as x approaches infinity is 0.”
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This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.

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