2 5 7 Theorem Let S Be A Sequence In R And Let 1 E The Set Of Subsequential Limits Of S In Ru 0 00 Then Lim S 1 (46.34 KiB) Viewed 35 times
I m trying to find proof these two on google , but i couldnt
found simple prove for my test (test during 5mins..…)
Subject: real analysis
i m trying to memorize these two prove because these are hard to
understand
2.5.7 THEOREM Let {s} be a sequence in R, and let 1 E = the set of subsequential limits of {s} in RU{-∞0,00}. Then lim s, and lim s, are in E and 818 818 (a) lim s sup E, and 81x (b) lim s, inf E. 818
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