CalcNotes0208-page5

CalcNotes0208-page5 - (Section 2.8: Continuity) 2.8.5 Jump...

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(Section 2.8: Continuity) 2.8.5 Jump Discontinuities A function f has a jump discontinuity at a ± 1) lim x ± a ² fx () exists, (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, lim x ± a does not exist (DNE). It is irrelevant how fa is defined, or if it is at all. Example 5 (Revisiting Example 13 from Section 2.1) Let = x x = x x = 1, if
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This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.

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