Precalc0105to0107-page12

Precalc0105to0107-page12 - (Section 1.5 Piecewise-Defined...

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(Section 1.5: Piecewise-Defined Functions; Limits and Continuity in Calculus) 1.5.12 f has a jump discontinuity at a , or x = a ± 1) lim x ± a ² fx () exists, and (call this limit L 1 ) 2) lim x ± a + exists, but (call this limit L 2 ) 3) lim x ± a ² ³ lim x ± a + . ( L 1 ± L 2 ) Therefore, the two-sided limit lim x ± a does not exist. It is irrelevant how fa is defined, or if it is at all. Example 2 and the greatest integer function gave us jump discontinuities
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This document was uploaded on 12/29/2011.

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