query: The limit of ${x^{x^x}}$ as $x\to 0^+$
positive_passages.docid: 25772
positive_passages.text: Limit of ${x^{x^x}}$ as $x\to 0^+$
negative_passages.docid: 119469
negative_passages.text: Find the limit of $\lim\limits_{(x,y)\to (0,0)} \frac{x^2y^2}{x^2y^2+(x-y)^2}$
negative_passages.docid: 65275
negative_passages.text: Finding $\lim\limits_{x\to1^-}\Bigl(\prod\limits_{n=0}^{\infty}\Bigl(\frac{1+x^{n+1}}{1+x^n}\Bigr)^{x^n}\Bigr)$
negative_passages.docid: 104602
negative_passages.text: asymptotic of $x^{x^x} = n$
negative_passages.docid: 7868
negative_passages.text: Computing limit of $(1+1/n)^{n^2}$
negative_passages.docid: 37251
negative_passages.text: Values of the limit $\lim\limits_{x\to+\infty}\left(\sqrt{(x+a)(x+b)}-x\right)$
negative_passages.docid: 126374
negative_passages.text: Limit of $2^{1/n}$ as $n\to\infty$ is 1
negative_passages.docid: 14150
negative_passages.text: Zero to the zero power – is $0^0=1$?
negative_passages.docid: 9746
negative_passages.text: Determine the following limit as x approaches 0: $\frac{\ln(1+x)}x$
negative_passages.docid: 31931
negative_passages.text: limit as $x$ approaches infinity of $\frac{1}{x}$
negative_passages.docid: 29213
negative_passages.text: Limit of 1/x as x approaches infinity
negative_passages.docid: 115210
negative_passages.text: Evaluate $\lim\limits_{x \to a} \frac{x^m-a^m} {x-a}$
negative_passages.docid: 114862
negative_passages.text: Find the limit $\displaystyle \lim_{x \to 0^+} (\sin x)^\frac1{\ln x}$
negative_passages.docid: 43829
negative_passages.text: Limit of $h_n(x)=x^{1+\frac{1}{2n-1}}$
negative_passages.docid: 100234
negative_passages.text: Proving that $x^n$ converges to $0$ whenever $|x| < 1$
negative_passages.docid: 20956
negative_passages.text: Correct way to prove the limit: $\mathop {\lim }\limits_{x \to 0} {x^\alpha }\int\limits_x^1 {\frac{{f\left( t \right)}}{{{t^{\alpha  + 1}}}}dt} $?
negative_passages.docid: 73786
negative_passages.text: Limit of $\frac{\sin(x+y)}{x+y}$ as $(x,y) \to (0,0)$