CalcNotes0208-page2

CalcNotes0208-page2 - (Section 2.8 Continuity 2.8.2 Example...

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(Section 2.8: Continuity) 2.8.2 Example 1 (Revisiting Example 1 in Section 2.1) If fx () = 3 x 2 + x ± 1 , then f is continuous at 1. This is because: 1) f 1 = 3 , 2) lim x ± 1 = 3 , and, therefore 3) lim x ± 1 = f 1 . A graph can demonstrate this. (Figure 2.8.a) Example 2 (Revisiting Example 2 in Section 2.2) Consider = x . (Figure 2.8.b) • f
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