Define a sequence (an)1 as follows. Let a₁ = 1 and an+1 = 0.5an + 1/n for n ≥ 2. Which of the following statement is true? (a)

Question

Define a sequence (an)1 as follows. Let a₁ = 1 and an+1 = 0.5an + 1/n for n ≥ 2.
Which of the following statement is true?
(a) limn→∞o an = 1.
(b) limn→∞an = ∞0.
(c) limn→∞ an/n = 0.
(d) Σ1 nan <∞0.
(c) None of the above statements is truc.

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