Is this true? [tex]n,m\in\mathbb{N}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

[tex]\lim_{n\to\infty}\sqrt[n]{\lim_{m\to\infty}\frac{1}{m}}=\lim_{n\to\infty}\lim_{m\to\infty}\sqrt[n]{\frac{1}{m}}=\lim_{u\to\infty}\sqrt{\frac{1}{u}}=1[/tex]

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# U-th root of 1/u as u goes to infinity is 1.

**Physics Forums | Science Articles, Homework Help, Discussion**