Determining the limit
Problem: Let 0 < λ < 4 and let {an} be a sequence of positive real number satisfying - an+1 = λan2(1-an) for n ∈ N, prove that limx→∞an exist and determine this limit.
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Let 0 < ? < 4 and let {an} be a sequence of positive real number satisfying - an+1 = ?an2(1-an) for n ? N, prove that limx?8an exist and determine this limit.
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