Precalc0105to0107-page6

Precalc0105to0107-pa - (Section 1.5 Piecewise-Defined Functions Limits and Continuity in Calculus 1.5.6 PART E THE GREATEST INTEGER(OR FLOOR

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(Section 1.5: Piecewise-Defined Functions; Limits and Continuity in Calculus) 1.5.6 PART E: THE GREATEST INTEGER (OR FLOOR) FUNCTION The greatest integer (or floor) function is defined by fx () = x ± ²³ ´ µ¶ or x ± ² ³ ´ , the greatest integer that is not greater than x . • Think: Round x down . • If x is nonnegative , we simply take the integer part. x ± ² ³ ´ = max y µ ± y x {} . “max” takes the greatest element of the set. Example Set 4 (Evaluating the Greatest Integer or Floor Function) 2.9 ± ² ³ ´ µ = 2 3 ± ² ³ ´ µ = 3 ± 1.1 ± ² ³ ´ µ
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This document was uploaded on 12/29/2011.

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