Evaluating the following limit
11489
Limit of $s_n = \int\limits_0^1 \frac{nx^{n-1}}{1+x} dx$ as $n \to \infty$
79785
Determining the limit $\lim_{h\to0} \frac{\cos(x+h) - \cos(x)}{(x+h)^{1/2} - x^{1/2}}$
94466
evaluating the limit $ \lim_{(x,y) \rightarrow (0,0) } \frac{x^2y^2}{x^2 + y^2} $
5167
Finding the limit that involves Fourier coefficients,
20843
Evaluate the limit of $\lim_{n\to\infty}\frac{1}{n^2}\left(\frac{2}{1}+\frac{9}{2}+\frac{64}{9}+\cdots+\frac{(n+1)^{n}}{n^{n-1}}\right)$
93155
Evaluate $\mathop {\lim }\limits_{x \to 0} \left( {{1 \over {{{\sin }^2}x}} - {1 \over {{x^2}}}} \right)$
82837
Calculating limit of function
115210
Evaluate $\lim\limits_{x \to a} \frac{x^m-a^m} {x-a}$
109059
Evaluate $\lim\limits_{n\to \infty}\frac{1}{n+1}+\frac{1}{n+2}+\cdots+\frac{1}{6n}$
64860
Evaluation of $\lim\limits_{x\rightarrow0} \frac{\tan(x)-x}{x^3}$
114675
Evaluating $\lim\limits_{x\to 0}(1+x)^{1/x}$?
75791
What is the proper way to handle the limit with little-$o$?
138052
How to work out the limit of  this bounded sequence?
17872
Evaluate $\lim\limits_{n\to\infty}\frac{\sum_{k=1}^n k^m}{n^{m+1}}$
123568
Solving limit given a limit
61698
Evaluate the limit $\lim\limits_{n \to \infty} \frac{1}{1+n^2} +\frac{2}{2+n^2}+ \ldots +\frac{n}{n+n^2}$
1234
Evaluating limits of integrals