I have an assignment where I have to prove or disprove the statements below.
I am looking for some examples of sequences that meet the requirments below
so that I can use them to help me come up with a formal proof. Any
suggestions would be greatly appreciated.
Aaron.
I)
i) Sample Space S=[0,1]
ii) Sequence {An} such that lim An = U An
Prove that given U An there exists a non-monotonic sequence such
that U An = Lim An
II)
i) Sample Space S=[0,1]
ii) Sequence {An} such that lim An = "Intersect" An
Prove that given "Intersect" An there exists a non-monotonic
sequence such that "Intersect" An = Lim An
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