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Question Number 209631 by York12 last updated on 17/Jul/24

Let u_n  be a set satisfying u_1 =1 & u_(n+1) =u_n +((ln n)/u_n )  , ∀ n ≥1  1. Prove that u_(2023) >(√(2023.ln 2023)).  2. Find: lim_(n→∞) ((u_n .ln n)/n).

Letunbeasetsatisfyingu1=1&un+1=un+lnnun,n11.Provethatu2023>2023.ln2023.2.Find:limnun.lnnn.

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