MTH 421 Midterm: Midterm 1 2017
Document Summary
February 17, 2010: determine whether each of the following statements is true or false. If a given statement is true, write the word true (no explanation or proof is necessary). Let [a, b] = [0, 1], and let f (x) =(1 x = 1. 2 and therefore di erentiable on [0, 1] even though f is not continuous at 1. Then f is identically zero x x (0, 1] Also, if we let f (x) =(x2 sin 1 integrable and f (x) = f (x) f (0) = r x x = 0. 0 on [0, 1], and f := f is bounded on [0, 1] and has only one discontinuity. F is di erentiable at 0 even though f is not continuous at 0. , then f can be shown to be di erentiable (c) assume that f : [0, ) r be improperly integrable on [0, ). Let f (x) = (x x n integrable and r r.
