So suppose an approaches L,(adsbygoogle = window.adsbygoogle || []).push({});

then how do I know that the statement

1)If lim supbn<b, then limsup(anbn)<Lb

implies that

limsup(anbn)<=L*limsup(bn)

is true?

2)How do I know that

limsup(anbn)=L*limsup(bn)

implies

liminf(anbn)=L*liminf(bn)

is true?

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# Another limsup and lim inf question

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