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  3. for any two real sequences {an} and {bn}, prove th

For any two real sequences {an} and {bn}, prove that Rudin’s Ex. 5 We assume that...

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Advance Math

For any two real sequences {an} and {bn}, prove that Rudin’s Ex.5 We assume that the right hand side is defined, that is, not ofthe form ? ? ? or ?? + ?.

lim sup (an + bn) ? lim sup an + lim sup bn.

Proof If lim sup an = ? or limsup bn = ?, there is nothing to prove

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