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    Limits, Cauchy seq's: sqrt[3](n+4/(8n+1)), sum (sin(k)/(k^3)

    I really need help finding and proving these limits 1) \lim_{n \rightarrow \infty}\sqrt[3]{\frac{n+\frac1{4}}{{8n+1}} 2) \lim_{n \rightarrow \infty}\sqrt{{n^2}-1}-n-1 3) \lim_{n \rightarrow \infty}\frac{n^2+1}{2n+1}-\frac{3n^2+1}{6n+1} And prooving that this is a Cauchy sequence 1)...
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