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Question Number 30174 by abdo imad last updated on 18/Feb/18

l e t u_{n} = \sum_{k = 1}^{n} \frac{1}{k}

1 . p r o v e t h a t l n (n + 1) ⩽ u_{n} ⩽ l n (n) + 1

2 . s h o w t h a t u_{n}_{n \to \infty} \sim l n (n) .