Let I ~ R be an interval and let I : I -+ R be increasing on I. Suppose that c e I is
Chapter 5, Problem 6(choose chapter or problem)
Let I ~ R be an interval and let I : I -+ R be increasing on I. Suppose that c e I is not an endpoint of I. Show that I is continuous at c if and only if there exists a sequence (xn) in I such that x < c for n = 1, 3, 5, ; x > c for n = 2, 4, 6, ;and such that c = lim(xn) and n n l(c) =lim (l
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