Let (an), (bn) be two bounded sequences. a.Show that limn→∞⊃ max(an,bn)≥max(limn→∞⊃an,limn→∞⊃bn). b. Give an example...
Let , be two bounded sequences.
a.Show that .
b. Give an example of such that the strict inequality holds.
Answer & Explanation
Beginner2022-01-24Added 17 answers
a)In view of and are bounded sequences, We already know that lim sup is on the rise, (1) Likewise, (2) Thus, b)Let's substitute we know that and are bounded, (3) However, and (4) Then by the equation (3) and equation (4): Therefore the given is showed and the example of ,
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