Solved: Let n(x) = xn for 0 x 1 and show that limn n(x) = 0, 0 x < 1, 1, x = 1. This
Chapter 2, Problem 13(choose chapter or problem)
Let n(x) = xn for 0 x 1 and show that limn n(x) = 0, 0 x < 1, 1, x = 1. This example shows that a sequence of continuous functions may converge to a limit function that is discontinuous.
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