Homework Sourse97 Real Mathematical Analysis Signed Measures Differentiati
9.7 Real (Mathematical) Analysis. Signed Measures & Differentiation. (Problem 3.30, Real Analysis (2nd edition) by G. B. Folland, ISBN: 9780471317166.). Please provide complete and correct solution done on computer or by hand with mathematical proof/explanation to all questions. Please, emphasis on complete and correct solution.
C9.7) (Folland problem 3.30) Construct a nondecreasing function f R R with the property that f is discontinuous at a ER if and only if E QSolution
define D(x)={0 if x is irrational belongs to R/Q
D(x)=1 if x is rational that is x belongs to Q
this function is discontinuous
