Limsup Product Rule

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Limsup Product Rule

In this video, I establish a sort of a product rule for limsup. Even though it is not true in general that limsup sn tn = limsup sn limsup tn, I will show that if one of the sequences converges, then we do have a product rule for limsup.

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Note: It’s very important that s > 0 here. If s < 0, then the result is false

drpeyam
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glad this is unlisted while im taking my first real analysis course

coolcat
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What if the limsoup(Sn) is chicken noodle and the limsoup(Tn) is cream of mushroom? Would the product be cream of chicken?

BlokenArrow
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How are there comments from five months ago on here? (Btw I love your videos)

whydontiknowthat
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I see the result. But I have to watch this video a couple of times.

thomasborgsmidt
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Hey! Can you do the proof of the sum of limsup

fvs
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I can see your bunny in the bottom right corner :)

taker