Precalc0105to0107-page8 - (Section 1.5 Piecewise-Defined...

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(Section 1.5: Piecewise-Defined Functions; Limits and Continuity in Calculus) 1.5.8 PART F: LIMITS IN CALCULUS Example 7 (Limits and the Greatest Integer or Floor Function) Let fx () = x ± ²³ ´ µ¶ or x ± ² ³ ´ . A Left-Hand, One-Sided Limit Evaluate lim x ± 2 ² , which is read: “the limit of as x approaches 2 from the left .” • We want the real number that approaches as x approaches 2 from lesser numbers (imagine approaching x = 2 from the left along the real number line), if such a number exists. • A table can help:
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