Question: 1.9. Let f(t) = 1 -t, fk(t) = 1 -t+ (-llitk-1 , 1. Then f k never vanishes and converges unifonnly to f in

1.9. Let f(t) = 1 -t, fk(t) = 1 -t+ (-llitk-1 ,

° 1. Then f k never vanishes and converges unifonnly to f in [0, 2]. Let ,JTk denote the distinguished square root of f k in [0, 2]. Show that ,JTk does not converge in any neighborhood of t = 1. Why is Theorem 7.6.3 not applicable? [This example is supplied by E. Reich].

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