MATH 019 Lecture Notes - Lecture 3: If And Only If, Impulse Tracker

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There aren"t y holes or jumps in the graph at x = c . any trace graph w/out lifting finger is flat y. Jump discontinuity discontinuous discontinuous continuous at x :c removable. I real fcc ) lim xoc is defined f cx ) 4 graphical example is the function continuous at. I x =3 discontinuity at x =-3 b check. Fc -37 does not exist f has disc . I nd f is continuous at x : I discontinuity at r finna f cx ) 4 x=2 f c 27=3 lying f cx) 1. f ( ) = {xd if. X ignore domains is cont . a know. 4=1 for: firm fix ) continuity fix lying . Dne ( i f cx ) im t. I - mo f cx) iimfcx ) - too tim i i -2 7=1 xoo fifth ) Ot f cx) : moth " = o xlimoyfx flood f isodisconlin theorem :

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