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Consider the function g0(x) = |x| on R. For n N, define gn(x) = gn1(x) 21n . Prove that the functions gn converge uniformly to

Consider the function g0(x) = |x| on R. For n N, define gn(x) = gn1(x) 21n . Prove that the functions gn converge uniformly to a limit g on R. Hint: Draw the graph of g0, g1, g2 to find g. 1

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