Compute $ \lim\limits_{t\to +\infty}\log \frac{1}{t}\int_0^1 \cosh(tf(x))dx. $
114372
Calculate $\lim_{t\to\infty}\frac 1t\log\int_0^1 \cosh(tf(x))\mathrm d x$
44054
Evaluating the integral $\mathop{\lim}\limits_{n \to \infty} \int_{-1}^{1} f(t)\cos^{2}(nt) \ dt $
14385
Solve $\int \limits_{0}^{\infty} \frac{\cos(x)}{\cosh(x)} dx$ without complex integration.
49489
Compute $\lim_{n\to\infty} \int_{0}^{\pi/4}\tan^n x \ dx$
63617
Evaluating limit $\lim_{k\to \infty}\prod_{r=1}^k\cos{\left(\frac {x}{2^r}\right)}$
154286
Evaluating $\lim_{n \to \infty} (1 + 1/n)^{n}$
142575
Find the value of : $\lim_{x\to\infty} \sqrt{x+\sqrt{x}}-\sqrt{x}$
17332
How to compute $\sum\limits_{n=1}^{\infty}\frac{1}{x^n-1}$?
1908
Compute $ \lim\limits_{n \to \infty }\sin \sin \dots\sin n$
65015
Computing $\lim_{n \to \infty} \sqrt[n]{ \int_{0}^{1} (1+x^n)^n dx}$
44095
Prove that $\lim_{x\to \infty}\left(x-\ln\cosh x\right)=\ln 2$
46898
Fast calculation for $\int_{0}^{\infty}\frac{\log x}{x^2+1}dx=0$
104269
Why does $\lim\limits_{t\to-\infty}te^t=0$?
114195
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
45806
Finding $\lim\limits_{n \rightarrow \infty}\left(\int_0^1(f(x))^n\,\mathrm dx\right)^\frac{1}{n}$ for continuous $f:[0,1]\to[0,\infty)$
79785
Determining the limit $\lim_{h\to0} \frac{\cos(x+h) - \cos(x)}{(x+h)^{1/2} - x^{1/2}}$
107386
Compute $\lim_{n \to \infty} \int_0^{\frac{\pi}{2}} \sum_{k=1}^n (\sin{x})^kdx$