Let x +b, if x 1(and x # b) (a) For what value(s) of b is f continuous at 1? Answer: b = 3 (b) For what value(s) of b does f have a removable discontinuity at 1? Answer: b = -3 (c) For what value(s) of b does f have an infinite discontinuity at 1? Answer: b = 1 ii: (d) For what value(s) of b does f have a (finite) jump discontinuity at 1? Write your answer in interval notation. Answer: b is in the set (-infinity,-3)U(-2,1)U(3,infinity)