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Sep
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answered Convergence of $x_{n}=\frac{n^2}{\sqrt{n^{6}+1}}+\frac{n^2}{\sqrt{n^{6}+2}}+\cdots+\frac{n^2}{\sqrt{n^{6}+n}}$
Sep
21
comment Convergence of $x_{n}=\frac{n^2}{\sqrt{n^{6}+1}}+\frac{n^2}{\sqrt{n^{6}+2}}+\cdots+\frac{n^2}{\sqrt{n^{6}+n}}$
Side note, term in brackets may be calculated to n, which results in the whole limitation to 1, not 0.