lim sup(1/An)= 1/(lim inf An) lim sup is a biggest limit of amongst all sub sequences. lim inf is the smallest limit amongst all sub sequences. so these concepts could vary how to link them like this??
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Originally Posted by transgalactic lim sup(1/An)= 1/(lim inf An) lim sup is a biggest limit of amongst all sub sequences. lim inf is the smallest limit amongst all sub sequences. so these concepts could vary how to link them like this?? hint: as An gets smaller (so it makes sense to talk about liminf's here), 1/An gets larger (so it makes sense to talk about limsups here)
its logical that it needs to be like that but how to say that in math?
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