Let k : [0, 1] -+ IRbe defined by k(x) := 0 if x E [0, 1] is 0 or is irrational, and
Chapter 10, Problem 10(choose chapter or problem)
Let k : [0, 1] -+ IRbe defined by k(x) := 0 if x E [0, 1] is 0 or is irrational, and k(m/n) := nif m, n EN have no common integer factors other than 1. Show that k E R*[O, 1] with integralequal to O.Also show that k is not continuous at any point, and not bounded on any subinterval[c, d] with C< d.
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