query: Computing $\lim_{x\to 0^+} x^{\sin(x)}$
positive_passages.docid: 27423
positive_passages.text: Why does $\lim_{x\to 0^+} x^{\sin x}=1$?
negative_passages.docid: 146529
negative_passages.text: Finding the limit $ \lim_{x\to a^+} \frac{\cos(x)\ln(x-a)}{\ln(e^x-e^a)} $
negative_passages.docid: 65015
negative_passages.text: Computing $\lim_{n \to \infty} \sqrt[n]{ \int_{0}^{1} (1+x^n)^n dx}$
negative_passages.docid: 117497
negative_passages.text: Compute the limit $\lim_{n \to \infty} \frac{n!}{n^n}$
negative_passages.docid: 142575
negative_passages.text: Find the value of : $\lim_{x\to\infty} \sqrt{x+\sqrt{x}}-\sqrt{x}$
negative_passages.docid: 79785
negative_passages.text: Determining the limit $\lim_{h\to0} \frac{\cos(x+h) - \cos(x)}{(x+h)^{1/2} - x^{1/2}}$
negative_passages.docid: 158447
negative_passages.text: Limit as $(x,y)$ approaches $(0,0)$ of $(1+x^2+y^2)^{\frac{1}{x^2+y^2+xy^2}}$
negative_passages.docid: 27717
negative_passages.text: Compute $\lim_{x\to\infty}x\;\left[\left(1+\frac{1}{x}\right)^x-e\right]$
negative_passages.docid: 110240
negative_passages.text: How to calculate $\lim_{x\to 1^+} \log (x)^{\log(x)}$?
negative_passages.docid: 37755
negative_passages.text: Limit $\lim_{x \to \infty}{\sin{\sqrt{x+1}}-\sin{\sqrt{x}}}$
negative_passages.docid: 17029
negative_passages.text: How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$?
negative_passages.docid: 24076
negative_passages.text: Evaluating limit (iterated sine function)
negative_passages.docid: 49489
negative_passages.text: Compute $\lim_{n\to\infty} \int_{0}^{\pi/4}\tan^n x \ dx$
negative_passages.docid: 135159
negative_passages.text: Limits using L'Hopital's rule $\lim_{x\to0^+} (x^{x^x-1})$
negative_passages.docid: 56085
negative_passages.text: Calculate the limit : $\lim_{x \to 0}\frac{x-\sin{x}}{x^3}$ WITHOUT using L'Hopital's rule
negative_passages.docid: 65975
negative_passages.text: Calculating $\lim_{n\to\infty}\sqrt{n}\sin(\sin...(\sin(x)..)$
negative_passages.docid: 46654
negative_passages.text: Using the Squeeze Theorem on $\lim_{x\to 0}\frac{\sin^2x}{x^2}$