Find limit of a sum – math.stackexchange.com

Find limit of a sum – math.stackexchange.com

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Evaluate $$\lim_{n\to\infty} \sum_{m=1}^n \bigl(({1+\frac{m^3}{n^4}})^{1/8}-1\bigr).$$ All I can say it's goes to indefinity $\infty-\infty$ so I'm interested in general idea rather than an exact ...

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