query: İf $\lim x_{n}=x$ then how to show this equation?
positive_passages.docid: 34001
positive_passages.text: Can you please check my Cesaro means proof
negative_passages.docid: 25206
negative_passages.text: How to prove that $\lim\limits_{n\to \infty}a_{n+1}=\lim\limits_{n\to \infty}a_{n}$
negative_passages.docid: 126256
negative_passages.text: Prove limit of function
negative_passages.docid: 110275
negative_passages.text: Let $p>0$. Show the $\lim_{n\to\infty}(a^n/n^p)$ is equal to:
negative_passages.docid: 74835
negative_passages.text: how to prove that $ \lim x_n^{y_n}=\lim x_n^{\lim y_n}$?
negative_passages.docid: 66441
negative_passages.text: Prove that $|x|<1$ implies that $\lim_{n \to \infty} x^n=0$
negative_passages.docid: 130161
negative_passages.text: Showing that if $\lim_{x\to\infty}xf(x)=l,$ then $\lim_{x\to\infty}f(x)=0.$
negative_passages.docid: 50673
negative_passages.text: Limit of ${a_n}^{1/n}$ is equal to $\lim_{n\to\infty} a_{n+1}/a_n$
negative_passages.docid: 99975
negative_passages.text: Find the Limit (n to infinity)
negative_passages.docid: 123568
negative_passages.text: Solving limit given a limit
negative_passages.docid: 104602
negative_passages.text: asymptotic of $x^{x^x} = n$
negative_passages.docid: 135649
negative_passages.text: How is $\lim_{x \to a}\left(\frac{x^n - a^n}{x - a}\right) = n\times a^{n-1}$?
negative_passages.docid: 11834
negative_passages.text: Prove that $\liminf x_n = -\limsup (-x_n)$
negative_passages.docid: 6878
negative_passages.text: Prove limit of sequence
negative_passages.docid: 108429
negative_passages.text: Show that if $x_n \to x$ then $\sqrt{x_n} \to \sqrt{x}$
negative_passages.docid: 122820
negative_passages.text: Prove $\lim_{n\to\infty}x_n=2$ Given $\lim_{n \to \infty} x_n^{x_n} = 4$
negative_passages.docid: 135700
negative_passages.text: Show that $\lim_{n \to \infty} (1/n)\sum_{i=1}^n f(x_i)$ exists