Question: 1.*10. Let I be a continuous function on 0'(1. If Xn -+ X in pr., then I (X n) -+ I (X) in pr. The
1.*10. Let I be a continuous function on 0'(1. If Xn -+ X in pr., then I (X n) -+ I (X) in pr. The result is false if I is merely Borel measurable.
[HINT: Truncate f at ±A for large A.]
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