A function f(a) is said to have a removable discontinuity at a = a if: 1. f is either not defined or not continuous at r = a. 2. f(a) could either be defined or redefined so that the new function IS continuous at a = a. 8x + 18 + Let f(x) = if x * 0, 2 x(x - 2) if x = 0 Show that f(a) has a removable discontinuity at a = 0 and determine what value for f(0) would make f (a) continuous at a = 0. Must redefine f(0) = 5 Hint: Try combining the fractions and simplifying. The discontinuity at a = 2 is actually NOT a removable discontinuity, just in case you were wondering.A function x) is said to have a jump diseantinuity at z = a; if: 1. ljm at) exists. 2. }G_ 2. Hm x) exists. zm'r 3. 111e left and right limits are not equal. :1: l 4 } . _ Show that x) has a jump discontinuity at z = 9 by calculating the limits from the left and right at :1: = 9. .12]; Hz) =1 2131+ fix) =3 NOW for fun, try to graph x)