query: $\lim_{h\to 0} \frac1h\int_0^h \sin(1/t)\,dt$
positive_passages.docid: 16375
positive_passages.text: Is the function differentiable at $0$?
negative_passages.docid: 46156
negative_passages.text: How to find $\lim_{x \to \infty} [x]/x$?
negative_passages.docid: 18156
negative_passages.text: Find $\lim_{x\to \infty} \ln(x+1)/(\ln(x))$
negative_passages.docid: 111636
negative_passages.text: Finding $\lim_{n\to\infty}\int_0^{\frac{1}{2^n}}(1+\cos(x))^n\,dx$
negative_passages.docid: 138169
negative_passages.text: Finding $\lim\limits_{n \to \infty }n\int_{0}^{1}\frac{x^{n}}{1+x+x^{n}}dx$
negative_passages.docid: 144329
negative_passages.text: Help solving a limit in two parts $\lim_{t\to 0}\left(\frac{1}{t\sqrt{1+t}}-\frac{1}{t}\right)$
negative_passages.docid: 119053
negative_passages.text: How to prove that $\displaystyle f''(a)=\lim_{h \to 0}\frac{f(a+2h)-2f(a+h)+f(a)}{h^2}$
negative_passages.docid: 67429
negative_passages.text: Solve $\lim_{x\to0}{\frac{x^2\cdot\sin\frac{1}{x}}{\sin x}}$
negative_passages.docid: 114862
negative_passages.text: Find the limit $\displaystyle \lim_{x \to 0^+} (\sin x)^\frac1{\ln x}$
negative_passages.docid: 10093
negative_passages.text: $\lim_{x\to \infty}e^{-x^2}\int_x^{x+1/x}e^{t^2}dt$
negative_passages.docid: 28161
negative_passages.text: Solve $\lim_{x\to 0} \frac{\sin x-x}{x^3}$
negative_passages.docid: 81258
negative_passages.text: Evaluation of $\int_{-\infty}^\infty \frac{\sin(at)}t\ dt$
negative_passages.docid: 152640
negative_passages.text: show that $\lim(\pi(x)/x) = 0$
negative_passages.docid: 139742
negative_passages.text: Bounding the integral $\int_{2}^{x} \frac{\mathrm dt}{\log^{n}{t}}$
negative_passages.docid: 59890
negative_passages.text: Fundamental Theorem of Calculus for $\lim\limits_{x\to 0}\frac{\int_0^x(x-t)\sin t^2\ dt}{x\sin^3x}$
negative_passages.docid: 104853
negative_passages.text: Proving that $\lim\limits_{n\to\infty}n\left( \int_0^1 f(t)\, dt -\frac1n\sum_{k=0}^{n-1}f\left(\frac k n\right) \right)=\frac{f(1)-f(0)}{2}$
negative_passages.docid: 65266
negative_passages.text: A limit problem $\lim\limits_{x \to 0}\frac{x\sin(\sin x) - \sin^{2}x}{x^{6}}$