(1 point) 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. x→a+
3. The left and right limits are not equal.
Let f(x) = x2 + 3x +6 if x < 5
14 if x = 5
-4x+2 otherwise
Show that f(x) has a jump discontinuity at x = 5 by calculating the limits from the left and right at x = 5.
lim f(x) =
x->5-
lim f(x) =
x->5+
Now for fun, try to graph f(x).