query: To show that $\lim_{n\rightarrow\infty}$ $\frac{n^{2}}{2^{n}} = 0$
positive_passages.docid: 18062
positive_passages.text: How can I prove $\lim_{n \to \infty} \frac{n^2}{2^n}=0$
negative_passages.docid: 104878
negative_passages.text: What is the limit $\lim\limits_{n \to \infty} \frac{n^{\sqrt{n}}}{2^n}$?
negative_passages.docid: 47606
negative_passages.text: Proving $\lim_{n\to\infty} a^{\frac{1}{n}}=1$ by definition of limit
negative_passages.docid: 97571
negative_passages.text: Find the limit $ \lim_{n\to \infty} 2^{\frac{1}{n}}$
negative_passages.docid: 80373
negative_passages.text: How to prove that $\lim_{n \to\infty} \frac{(2n-1)!!}{(2n)!!}=0$
negative_passages.docid: 107953
negative_passages.text: Limit of the sequence $\lim_{n\rightarrow\infty}\sqrt[n]n$
negative_passages.docid: 138973
negative_passages.text: How prove this limit $\lim\limits_{n\rightarrow \infty} \frac{f_n}{f_{n+1}}=a$ given two other limits related to $f_n$
negative_passages.docid: 2449
negative_passages.text: Prove that $\lim \limits_{n \to \infty} \frac{x^n}{n!} = 0$, $x \in \Bbb R$.
negative_passages.docid: 30160
negative_passages.text: How to show that $\lim_{n \to +\infty} n^{\frac{1}{n}} = 1$?
negative_passages.docid: 50334
negative_passages.text: What is $\lim_{n \rightarrow \infty}\sum\limits_{k = 1}^n\frac{k}{n^2}$?
negative_passages.docid: 143375
negative_passages.text: Showing that $\lim_{(x,y) \to (0, 0)}\frac{xy^2}{x^2+y^2} = 0$
negative_passages.docid: 147203
negative_passages.text: How to show that $\lim_{n\to\infty}\left\{f(c+\frac{1}{n^2})+f(c+\frac{2}{n^2})+\cdots+f(c+\frac{n}{n^2})-nf(c)\right\}=\frac{1}{2} f'(c)$
negative_passages.docid: 3111
negative_passages.text: How to prove that if $\lim_{n \rightarrow \infty}a_n=A$, then $\lim_{n \rightarrow \infty}\frac{a_1+...+a_n}{n}=A$
negative_passages.docid: 156355
negative_passages.text: Show that $\lim_{z \rightarrow \infty} -z^xe^{-z} = 0$
negative_passages.docid: 158153
negative_passages.text: Prove: $ \lim_{n\rightarrow\infty} x ^ {\left(\frac 1 n\right)} = 1 $
negative_passages.docid: 12301
negative_passages.text: Show that $\lim_{n \rightarrow \infty} \sqrt[n]{a} =1$
negative_passages.docid: 95718
negative_passages.text: Computing $ \lim_{n\rightarrow \infty}\left(\frac{1^n+2^n+\cdots \cdots +n^n}{n^n}\right)$