query: Finding $\lim_{x \to \infty} x^{1/x}$
positive_passages.docid: 30160
positive_passages.text: How to show that $\lim_{n \to +\infty} n^{\frac{1}{n}} = 1$?
negative_passages.docid: 19898
negative_passages.text: Limit $\lim (1+(a^{1/n}-1) / b)^n$
negative_passages.docid: 140622
negative_passages.text: Find the value of : $\lim_{x \to \infty} \sqrt{4x^2 + 4} - (2x + 2)$
negative_passages.docid: 54775
negative_passages.text: Find $\lim_{n \to \infty} n[(1+\frac{1}{n})^n - e]$
negative_passages.docid: 4289
negative_passages.text: $\lim_{x\to0}\dfrac{1}{x}-\lim_{x\to0}\dfrac{1}{x}$
negative_passages.docid: 104391
negative_passages.text: Find $\lim_\limits{x\to 1^-}{\ln x\cdot \ln(1-x)}$.
negative_passages.docid: 142575
negative_passages.text: Find the value of : $\lim_{x\to\infty} \sqrt{x+\sqrt{x}}-\sqrt{x}$
negative_passages.docid: 8773
negative_passages.text: Finding $\lim\limits_{n \to \infty}{\frac{1^1+2^2+3^3+\cdots+n^n}{n^n}}$
negative_passages.docid: 113913
negative_passages.text: using L'Hospital solve $\lim_{x \to \infty} x - x^{2}\ln(1 + \frac{1}{x})$
negative_passages.docid: 72693
negative_passages.text: Prove: $\lim_{x\to\infty}x^{2/3}((x+1)^{1/3}-x^{1/3})=1/3$
negative_passages.docid: 9781
negative_passages.text: How to prove that $\lim_{n \to \infty} n x^{n} = 0 $ when $0<x<1$?
negative_passages.docid: 51212
negative_passages.text: How do I solve $\lim\limits_{x\to\infty} \ \frac{\ln \ x}{x} = 0$?
negative_passages.docid: 127107
negative_passages.text: Evaluate $\lim_{x\to \infty}\ (x!)^{1/x}$
negative_passages.docid: 118220
negative_passages.text: Finding limit when limit approches to infinity
negative_passages.docid: 123970
negative_passages.text: Find $L=\lim \limits_{n\to \infty}\sqrt[n]{x^n+y^n+z^n}$
negative_passages.docid: 111929
negative_passages.text: Find the limit: $\lim_\limits{x\to 0}{\frac{\left(1+x\right)^{1/x}-e}{x}}$
negative_passages.docid: 133244
negative_passages.text: Finding $\lim_{n \to \infty} n(\sqrt[n]{2} - 1)$