Evaluate $\lim _{n\to \infty }\int _{0}^{1}nx^ne^{x^2}dx$
140574
Find $\lim_{n\to \infty} \int_0^1 nx^n e^{x^2} dx$
51884
Compute: $\lim\limits_{n\to+\infty}\int\limits_{0}^1 e^{\{nx\}}x^{100}dx$
17090
Compute $\lim_\limits{n\to\infty}a_n$ where $a_{n+2}=\sqrt{a_n.a_{n+1}}$
48985
Calculating $\lim_{x\to+\infty}(\sqrt{x^2-3x}-x)$
33610
Evaluate $\displaystyle \lim_{n\to \infty}\sqrt[n]{n!}$
114481
Calculating $\lim_{n\to\infty}\sqrt[n]{2^n-n^2}$
49489
Compute $\lim_{n\to\infty} \int_{0}^{\pi/4}\tan^n x \ dx$
106527
Limit of $(\cos1/n)^{n^2}$ when $n\to\infty$
84765
Evaluating $\int_{-\infty}^{\infty}\frac{1}{(x^2+b^2)^2}dx$
42817
proving $\lim\limits_{n\to\infty} \int_{0}^{1} f(x^n)dx = f(0)$ when f is continous on [0,1]
56902
Evaluate $\lim_{n \to \infty} \frac{1}{n}[(n +1)(n+2) \cdots (n+n)]^{\frac{1}{n}}$
107386
Compute $\lim_{n \to \infty} \int_0^{\frac{\pi}{2}} \sum_{k=1}^n (\sin{x})^kdx$
111636
Finding $\lim_{n\to\infty}\int_0^{\frac{1}{2^n}}(1+\cos(x))^n\,dx$
42241
Evaluation of $\lim_{n\rightarrow \infty}\sum^{n}_{r=1}\frac{r}{n^2+n+r}$
117370
$\lim_{n\to\infty} \left(1+\frac{2}{n}\right)^{n^2} e^{-2n}$
56961
Evaluate the limit of $\sum_{n=1}^{\infty}\frac{n^2}{n!}$
1234
Evaluating limits of integrals