New posts in Convergence Divergence

How to evaluate $ \:\sum _{n=3}^{\infty \:}\frac{4n^2-1}{n!}\:\: $?

very slow convergence of Picard method for solving nonlinear system of equations

Existence of limit for sequence $x_n=\frac12\left(x_{n-1}+\frac8{x_{n-2}}\right)$ with initial values $x_0=5,x_1=10$

Find for which $\alpha$ the integral $\int_{0}^{1} \frac{1-x^{\alpha}}{1-x}dx$ converges

Does iterating the complex function $z\mapsto\frac{2\sqrt z}{1+z}$ always converge?

Bounds of $1^n + 2^{n-1} + 3^{n-2} + \cdots + n^1$

Show that $(\sum a_{n}^{3} \sin n)$ converges given $\sum{a_n}$ converges

Determine the $\lambda \in \mathbb{R}$ for which this integral converges

Proof that any number is equal to $1$

Is the radius of convergence related to the ratio limit or half of the interval of convergence?