Peter Tamaroff

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25,571 reputation
32986
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location Buenos Aires, Argentina
age 19
visits member for 1 year, 4 months
seen 5 mins ago
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Some interesting questions, with great answers:

  1. The so-called Axiom of Choice

  2. Real numbers and sets

  3. How discontinuous can a derivative be?


719 Answers

newest activity votes
9
Different methods to compute $\sum\limits_{n=1}^\infty \frac{1}{n^2}$
8
Using the Limit definition to find the derivative of $e^x$
8
Establish convergence of the series: $1-\frac{1}{2}-\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}-…$
8
Proving $(n+1)^n > 2^n n!$
8
Proof of $\int_0^\infty \frac{\sin x}{\sqrt{x}}dx=\sqrt{\pi/2}$
8
What is wrong with my solution? $\int \cos^2 x \tan^3x dx$
8
What is awry with this proof?
8
Evaluating $\int_0^\infty \sqrt x e^{-x^3} dx$
7
Proving Inequality using Induction $a^n-b^n \leq na^{n-1}(a-b)$
7
Find Maclaurin series for$f(x) = \frac{2x}{1-5x^3}$
7
Help me evaluate $\int_0^1 \frac{\log(x+1)}{1+x^2} dx$
7
Prove: $\int_0^1 \frac{\ln x }{x-1}=\sum_1^\infty \frac{1}{n^2}$
7
How does $\sum_{n=0}^{\infty}\frac{p^n}{n!} = e^p$?
7
Special Differential Equation
7
Quadratic residues and representations of integers by a binary quadratic form
7
Is $\int_a^b f(x) dx = \int_{f(a)}^{f(b)} f^{-1}(x) dy$?
7
The difference between $\frac{\partial^2 y}{\partial x^2}$ and $\frac{\partial y^2}{\partial x^2}$
7
High school mathematical research
7
Solution to $x=1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\ldots}}}$
7
The calculation of a series
7
How to solve $y = \ln\frac{1+x}{1-x}$?
7
How to integrate $\int e^{-t^{2}} \space dt $ using introductory calculus methods
7
Let $a_{n}$ be a sequence such that $(a_{n})^{2}=ca_{n-1}$ where ($c>0,a_{1}>0$).Prove that $a_n$ converges to $c$.
7
Is using L'Hospital's Rule to prove $\lim \limits_{x \to 0} \sin{x}/x$ circular?
7
Prove: $\int_{0}^{\infty} \sin (x^2) dx$ converges.
6
Prove or disprove: $\sum\limits_{i=1}^n i^2 = O(n^2) $
6
Definition of “not converging” and proving $(-1)^n$ does not converge to $1$.
6
Rudin's Proof of Cauchy-Schwarz (Theorem 1.35)
6
Definition for multiplication
6
Finding the solution for $Ax=0$
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