Evaluating $\lim_{n\to\infty}\sum_{k=0}^n\frac{1}{2^k}\tan\frac{x}{2^k}$
139356
How to find the limit of a sequence?
137155
Sum $ \sum\limits_{k=1}^{\infty} \frac{k^2}{2^k}$
17332
How to compute $\sum\limits_{n=1}^{\infty}\frac{1}{x^n-1}$?
91290
Evaluating $\lim_{n \to \infty} \int_{0}^{\pi} \frac{\sin x}{1+\cos ^2(nx)} dx$
108010
Evaluating $\sum_{k=1}^{\infty}\left(\frac{\sin(tk)}{k}\right)^2$
69502
How to evaluate $\lim\limits_{x\to 0+}\frac 1x \left(\frac 1{\tan^{-1}x}-\frac 1x\right)$?
64860
Evaluation of $\lim\limits_{x\rightarrow0} \frac{\tan(x)-x}{x^3}$
5054
Calculate $\sum\limits_{k=0}^{\infty}\frac{1}{{2k \choose k}}$
123675
Evaluate the following limit of finite sum
154286
Evaluating $\lim_{n \to \infty} (1 + 1/n)^{n}$
75268
Proving that $\lim_{n\rightarrow \infty} \frac{n^k}{2^n}=0$
84147
Evaluating $\sum_{n=1}^\infty \frac{2^{2n-1}}{5^{n+1}}$
131456
Calculate $\lim_{n\to\infty} \sum_{k=1}^{n} \Big(\frac{k}{n}\Big)^{\alpha k}$
28461
Show that $\lim_{n\to\infty} \sum_{k=1}^{n} \frac{n}{n^2+k^2}=\frac{\pi}{4}$
103833
limit $\lim_{n\to \infty }\sum_{k=1}^{n}\frac{k}{k^2+n^2}$
56961
Evaluate the limit of $\sum_{n=1}^{\infty}\frac{n^2}{n!}$
56902
Evaluate $\lim_{n \to \infty} \frac{1}{n}[(n +1)(n+2) \cdots (n+n)]^{\frac{1}{n}}$