Question: 1.* 4. Let I be a bounded uniformly continuous function in 0'(1. Then Xn -+ o in pr. implies {I (Xn)} -+ I (0). [Example:

1.* 4. Let I be a bounded uniformly continuous function in 0'(1. Then Xn -+ o in pr. implies <> {I (Xn)} -+ I (0). [Example:

as in Theorem 4.1.5.]

IXI I(x) = 1 + IXI

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