A function f x is said to have a jump discontinuity at x a if 1 lim f x exists I a 2 lim f x exists I a 3 The left and right limits are not equal Let f x Show that f x has a jump discontinuity at x 10 by calculating the limits from the left and right at x 10 lim f x 210 lim f x x 10 H 5x 2 if a 10 4 if a 10 x 5 SARE Now for fun try to graph f x