A function f(x) is said to have a jump discontinuity at x = a if:
1. lim f(x) exists.
x-a-
2. lim f(x) exists.
pat
3. The left and right limits are not equal.
3x-3 if x <3
Let f(x) =
5
2+5
if x>3
Show that f(x) has a jump discontinuity at x = 3 by calculating the limits from the left and right at
= 3.
lim f(x) =
2-3-
lim f(x) =
A-3+