[分析] 初微(50)
(a) Let {a_n} be a sequence of real numbers and let
n
b_n = (1/n)( Σ a_j).
j=1
Show that b_n → c as →∞ if a_n → c as n →∞.
(b) Give a counter-example such that {b_n} converges but {a_n}
dirverges.
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