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Aaron Maroja's user avatar
Aaron Maroja's user avatar
Aaron Maroja's user avatar
Aaron Maroja
  • Member for 10 years, 2 months
  • Last seen more than a week ago
20 votes

What is the most unusual proof you know that $\sqrt{2}$ is irrational?

18 votes

Proof that $\sum_{1}^{\infty} \frac{1}{n^2} <2$

12 votes

Calculate limit without L'Hopital

11 votes

Example of non-Abelian group with 4, 5, or 6 elements of order 2

10 votes

Integrating $\int x\sin x dx$

10 votes

If $p$ and $q$ are prime numbers larger than $2$, then $pq + 1 $ is never prime

9 votes

Concepts in mathematics which are referred to as 'generalizations'

9 votes

How to solve this equation $x^{2}=2^{x}$?

8 votes

How to prove that $8^{18} - 1$ is divisible by $7$

8 votes
Accepted

Exponential decay estimate

8 votes
Accepted

$f(x)$ is convex $\Leftrightarrow f'$ is monotonically increasing

8 votes
Accepted

$SO(n+1)/SO(n) \cong S^{n-1}$

7 votes
Accepted

How is the kernel of a group action defined?

7 votes

How to get value of $\lim\limits_{n \to \infty} \frac{\sqrt[n]{n!}}{n}$ without using Stirling-formula?

7 votes

Use integral test to show that Gaussian Integral $\int_{-\infty}^{\infty} e^{-x^2} \ dx$ converges?

7 votes
Accepted

Proof of the right and left cancellation laws for Groups

7 votes

Proof that $n\Bbb Z \leq \Bbb Z$ and are the only subgroups of $\Bbb Z$

7 votes

Indefinite integral $\int{3x^2\over (x^3+2)^4}dx$

7 votes
Accepted

Show that $\sum_{k=1}^\infty \frac{\ln{k}}{k^2}$ converges or diverges

7 votes
Accepted

Calculus - Prove $\lim_{n \to \infty} \frac{x^n}{n!}=0$

7 votes
Accepted

If B is invertible, then $\det (B^{-1} AB) = \det A$

6 votes
Accepted

I'm having difficulty with this limit. Lim as x approaches 2: [(1/x-2)-(4/x^2-4)]

6 votes

Deriving inverse matrix formula

6 votes
Accepted

Trouble understanding equivalence relations and equivalence classes

6 votes

Integrate $\int\frac{\sqrt{\tan(x)}}{\cos^2x}dx$

6 votes

Indefinite integral of fraction

6 votes

How to prove $\lim_{n\rightarrow\infty}nx^n=0$ without L'Hôpital's rule, where $x \in [0,1)$??

6 votes
Accepted

Curve with all normal planes having a common point

6 votes

Why the anti derivative of $\sec(x) \cdot \tan(x)$ is $\sec(x)$?

6 votes

What are some results that shook the foundations of one or more fields of mathematics?

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