a) If {anao and {bn}a_o are sequences of positive real numbers such that an << bn, then bn tan << bn. n=0 b) If {an}, {bn}ao and {n}o are sequences such that (vn E N)an ≤ bn ≤ en and limnoo an = limnxo Cn = LER, then limn→∞o bn = L. c) If f is a positive continuous function on [1, ∞0) such that limx→ f(x) then f (f(x))²dx converges. = 0 and f f(x)dx converges,

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