(Section 1.5: Piecewise-Defined Functions; Limits and Continuity in Calculus) 1.5.8 PART F: LIMITS IN CALCULUSExample 7 (Limits and the Greatest Integer or Floor Function)Let fx()=x±²³´µ¶orx±²³´. A Left-Hand, One-Sided LimitEvaluate limx±2², which is read: “the limit of as xapproaches2 from the left.” • We want the real number that approaches as xapproaches 2 from lessernumbers (imagine approaching x=2from the leftalong the real number line), if such a number exists. • A table can help:
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