Hello, i just started in real analysis not too long ago. In my lecture notes There are 2 properties(adsbygoogle = window.adsbygoogle || []).push({});

lim sup (x+y) < & = lim sup x + lim sup y

lim sup (xy) < & = lim sup x * lim sup y

however there are no proofs for them in my notes. so i was wondering if anyone knew where a proof of these properties might lay or possibily give me a proof for these.

Thanks

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# Limit superior/inferior

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