1. Let {an} be a sequence in R with an > 0 and 0 < lim inf→∞ an ≤ lim Supn an < ∞. Prove that 1 lim sup n→∞ an = 1 lim infn→∞o an

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Could you please explain in detail. I am struggling to understand analysis in general.

1. Let {n} be a sequence in R with an > 0 and 0 < lim infn→∞ an ≤
lim supn→∞ an < x. Prove that
1
an
lim sup
n→∞
1
lim inf
∙n→∞ An
Transcribed Image Text:1. Let {n} be a sequence in R with an > 0 and 0 < lim infn→∞ an ≤ lim supn→∞ an < x. Prove that 1 an lim sup n→∞ 1 lim inf ∙n→∞ An
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