query: Can't understand the limit solution to $\lim_{n\to\infty}\sqrt[n]{2^n-n^2}$
positive_passages.docid: 114481
positive_passages.text: Calculating $\lim_{n\to\infty}\sqrt[n]{2^n-n^2}$
negative_passages.docid: 16634
negative_passages.text: How to show $\lim_{n \to \infty} \sqrt[n]{a^n+b^n}=\max \{a,b\}$?
negative_passages.docid: 146663
negative_passages.text: Limit $\lim_{n \to \infty} \frac {a_n}{2^{n-1}}=\frac 4{\pi}$ for $a_{n+1}=a_n+\sqrt{1+a_n^2}$ and $a_0=0$
negative_passages.docid: 117370
negative_passages.text: $\lim_{n\to\infty} \left(1+\frac{2}{n}\right)^{n^2} e^{-2n}$
negative_passages.docid: 125538
negative_passages.text: limit of $n^{\frac{1}{\sqrt{n}}}$
negative_passages.docid: 106527
negative_passages.text: Limit of $(\cos1/n)^{n^2}$ when $n\to\infty$
negative_passages.docid: 30063
negative_passages.text: How do you calculate this limit $\lim_{n\to\infty}\sum_{k=1}^{n} \frac{k}{n^2+k^2}$?
negative_passages.docid: 49860
negative_passages.text: Determine the convergence of $\sum\limits_{n=2}^\infty \frac{\sqrt{n+1}}{n(n-1)}$
negative_passages.docid: 82831
negative_passages.text: Evaluating the limit $\lim_{n\to\infty} \left[ \frac{n}{n^2+1}+ \frac{n}{n^2+2^2} + \ldots + \frac{n}{n^2+n^2} \right]$
negative_passages.docid: 7
negative_passages.text: Find value of the limit: $\lim_{n\to \infty}\sqrt[n]{1^2+2^2+\cdots+n^2}$
negative_passages.docid: 128882
negative_passages.text: Prove $\lim\limits_{n\to\infty}\frac{1}{\sqrt[n]{n!}}=0$
negative_passages.docid: 437
negative_passages.text: Show that $\lim_{n\to\infty} \sqrt[n]{a^{n} + b^{n}} = \max(a, b)$
negative_passages.docid: 32744
negative_passages.text: A clarification in a limit
negative_passages.docid: 52331
negative_passages.text: What is $\lim_{n\to \infty }\left(\sqrt[\leftroot{-2}\uproot{2}n+1]{(n+1)!}-\sqrt[\leftroot{-2}\uproot{2}n]{n!}\right)$?
negative_passages.docid: 97571
negative_passages.text: Find the limit $ \lim_{n\to \infty} 2^{\frac{1}{n}}$
negative_passages.docid: 123568
negative_passages.text: Solving limit given a limit
negative_passages.docid: 140969
negative_passages.text: Limit of square root problem