Intereting Posts

Evaluating and proving $\lim_{x\to\infty}\frac{\sin x}x$
Are the Taylor polynomials of a function the results of a minimization problem?
Converting absolute value program into linear program
How do you prove that $tr(B^{T} A )$ is a inner product?
Examples of measurable and non measurable functions
Integral eigenvectors and eigenvalues
Evaluate the sum $\sum^{\infty}_{n=1} \frac{n^2}{6^n}$
For a bounded subset $A$ of $\mathbb{R}$, $\sup(A)$ is in the closure of $A$
Trace of a nilpotent matrix is zero.
Convergence of Roots for an analytic function
Suppose $A^n = 0$ matrix for some $n > 1$. Find an inverse for $I – A$.
Without the Axiom of Choice, does every infinite field contain a countably infinite subfield?
How to determine a Hilbert class field?
Why is it so difficult to find beginner books in Algebraic Geometry?
If square waves are square integrable, why doesn't fourier expanding work?

Put $a_{0}= \pi/2$ and $a_{n}=\sin(a_{n-1})$.

Is $\sum a_{n}$ a convergent series?

- Sequence is periodic $x_{n+2}=|x_{n+1}-x_{n-1}|$
- Divergent series and $p$-adics
- Differentiating an infinite sum
- can one derive the $n^{th}$ term for the series, $u_{n+1}=2u_{n}+1$,$u_{0}=0$, $n$ is a non-negative integer
- Infinite Series $\sum\limits_{n=1}^\infty\left(\frac{H_n}n\right)^2$
- Mutually Exclusive Events (or not)

- $\sum_{p \in \mathcal P} \frac1{p\ln p}$ converges or diverges?
- Prove Laurent Series Expansion is Unique
- Periodic sequence
- How can I show that $\sqrt{1+\sqrt{2+\sqrt{3+\sqrt\ldots}}}$ exists?
- Convergence of $a_n=(1/2)^{(1/3)^{…^{(1/n)}}}$
- Are these two sequences the same?
- On the closed form for $\sum_{m=0}^\infty \prod_{n=1}^m\frac{n}{5n-1}$
- Prove that the limit definition of the exponential function implies its infinite series definition.

- The “Bold” strategy of a single large bet is not the best Roulette strategy to double your money
- Simple way to understand what derivative is
- Using permutation or otherwise, prove that $\frac{(n^2)!}{(n!)^n}$ is an integer,where $n$ is a positive integer.
- Difference of $n$-th power of two consecutive integers
- Combinatorial proof of $\sum_{i=0}^n {{i}\choose{ k}} = {{n+1}\choose{ k+1}}$
- How can I prove that the follow polynomial is irreducible in $\mathbb{Q}$?
- Proof of Unique Solution for Modular Exponentiation In Cryptography
- Show bijection from (0,1) to R
- Embedding ordinals in $\mathbb{Q}$
- Prove that $f(x)=0$ for all $x\in\mathbb{R}$.
- Solving Wave Equations with different Boundary Conditions
- Explanation for $\lim_{x\to\infty}\sqrt{x^2-4x}-x=-2$ and not $0$
- End of step symbol
- Why do we need an integral to prove that $\frac{22}{7} > \pi$?
- Applications of cardinal numbers