Let In (X) := Xn/n for x E [0,1]. Show that the sequ~nce (In) of differentiable

Chapter 8, Problem 9

(choose chapter or problem)

Let In (X) := Xn/n for x E [0,1]. Show that the sequ~nce (In) of differentiable functions convergesunifonnly to a differentiable function I on [0, 1], and that the sequence U~) convergeson [0, 1] to a function g, but that g(1) :I: I' (1).

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