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Question on Limits, please help

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  • Question on Limits, please help

    1)
    if limit of a(n) = L >0, as n->infinity;prove that limit sqrt(a(n)) = sqrt(L)
    as n approaches infinity...when
    does sqrt ((a(n)) make sense.


    2)suppose that limit of a(n) = L as n-> infinity, show that limit, as
    n->infinity of ((a1+a2+a3+a4+a5+.....+an)/n)=L
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