CalcNotes0201-page5

CalcNotes0201-page5 - (Section 2.1: An Introduction to...

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(Section 2.1: An Introduction to Limits) 2.1.4 Example 3 (Constant Function) lim x ±² ³ 2 = 2 . (Observe that “plugging in” x = ± ² technically works here.) A graph can demonstrate this. Think: fx () = 2 . Consider the graph of y = 2 . (Figure 2.1.c) The term “approaches” We can write 2 ± 2 (i.e, 2 approaches 2) as x . This is true, even though people are more used to thinking about a sequence of distinct numbers such as 2.1, 2.01, 2.001, … approaching 2. It helps to remember that, in math, the constant sequence 2, 2, 2, …
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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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