CalcNotes0208-page9

CalcNotes0208-page9 - (Section 2.8: Continuity) 2.8.9...

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(Section 2.8: Continuity) 2.8.9 Challenge to the Reader : Draw a graph where f is defined on a , b ± ² ³ ´ , and f is continuous on a , b () , but f is not continuous on the closed interval a , b ± ² ³ ´ . PART F: ONE-SIDED CONTINUITY and CONTINUITY ON HALF-OPEN, HALF-CLOSED INTERVALS Definition of Right-Hand Continuity at a Point, a f is continuous from the right at a ± 1) fa is defined, 2) lim x ± a + fx exists, and 3) lim x ± a + = . Definition of Left-Hand Continuity at a Point, b f is continuous from the left at b ± 1) fb is defined, 2) lim x ± b ² exists, and
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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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