Asymptotic expansion of $v_n = 2^nu_n$ where $u_{n+1} = \dfrac{1}{2}\arctan(u_n)$
71681
Asymptotic expansion of $u_{n + 1} = \frac12 \arctan(u_n)$
32742
The limit of $\frac{|A_n|}{n^2}$
34904
Proof of Convergence: Babylonian Method $x_{n+1}=\frac{1}{2}(x_n + \frac{a}{x_n})$
19729
An infinite dimensional limit
78309
On an expansion of $(1+a+a^2+\cdots+a^n)^2$
41445
Show that the sequence $a_n\leq a_{2n}+a_{2n+1}$ diverges
121880
How to show that $|D_{2n}| = 2n$ via the presentation?
147410
ArcTan(2) a rational multiple of $\pi$?
25921
Show that $\left(1+\dfrac{1}{n}\right)^n$ is monotonically increasing
32996
limit: $u_n=\frac{1+2^2+3^3+...+n^n}{n^n}$.
99752
how does one solve $\lim_{n\to \infty} (\frac{n^{2}-2n+1}{n^{2}-4n+2})^{n}$
145521
Why does $\arctan(x)= \frac{1}{2i}\log \left( \frac{x-i}{x+i}\right)+k$?
23018
Integral $\int_a^\infty \frac{\arctan(x+b)}{x^2+c}dx$
146839
Orthogonal Projection onto the $ {L}_{\infty} $ Unit Ball
11489
Limit of $s_n = \int\limits_0^1 \frac{nx^{n-1}}{1+x} dx$ as $n \to \infty$
156312
Taylor expansion for $\arcsin^2{x}$
41862
Asymptotic behavior of a trigonometric series