Evaluate `lim_(nrarroo) [1/n + 1/(n+1) + 1/(n+2) +…+ 1/(3n)]`

Explanation

To evaluate the limit

\[ \lim_{n \to \infty} \left( \frac{1}{n} + \frac{1}{n+1} + \frac{1}{n+2} + \ldots + \frac{1}{3n} \right), \]

we can rewrite the sum in a more manageable form.

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