Aryabhata
Reputation
397/400 score
 1d revised Compute $\int_{0}^{\infty}\frac{x \log(x)}{(1+x^2)^2}dx$ edited tags 1d revised Proving that $\lim_{n\rightarrow\infty}n(a_{n+1}-a_{n})=1 \implies a_n$ diverges to $\infty$ edited title 1d comment Proving that $\lim_{n\rightarrow\infty}n(a_{n+1}-a_{n})=1 \implies a_n$ diverges to $\infty$ Please use more informative titles. 1d revised Infinite series $\sum_{n=1}^{\infty}nx^{n+1}$ does not comply to any of my (known) tests edited title 1d revised Showing that $\sum\limits_{n=1}^{\infty} (a_1+2a_2+…+na_n)/n(n+1) = \sum\limits_{i=1}^n a_n$ edited title 1d comment How can I find if $\sum_{n=1}^\infty {n! \over 10^n}$ converges or diverges? Please use more informative titles. The previous title you had, was on par with "Help!". 1d revised How can I find if $\sum_{n=1}^\infty {n! \over 10^n}$ converges or diverges? edited title 1d revised Proof that $\lim \frac{a_n}{1+a_n^2} = 0 \implies \lim a_n = 0$ deleted 2 characters in body; edited title 1d revised Sum of digits of $11\dots 11^2$ where $11\dots 11$ is a 1992 digit number with all digits $1$ edited tags 1d comment Simplifying Sum @Guest: Using binomial theorem. It is a standard technique. You don't need to know RHS for it. 2d comment Simplifying Sum Without the algebra precalculus tag, the left side is $$\int_{0}^{1} (1-x)^n x^m \text{d}x$$ which is a Beta integral... Apr14 awarded Notable Question Apr1 awarded Popular Question Mar29 comment Diophantine system of two equations with four variables +1: More accessible to a 9th grader, than complex numbers I suppose. Mar29 answered Diophantine system of two equations with four variables Mar28 revised Counting the number of integers $i$ such that $\sigma(i)$ is even. edited tags Mar28 revised Counting the number of integers $i$ such that $\sigma(i)$ is even. edited tags Mar28 comment Counting the number of integers $i$ such that $\sigma(i)$ is even. Is this an algorithm problem? Assuming it is, retagging as elementary-number-theory. Mar26 comment Calculation of limit without stirling approximation A previous answer of mine proves this in a completely elementary fashion: math.stackexchange.com/a/131084/1102. Falls right out of Proposition E. Mar26 comment Can the sum of reciprocals of a set without density converge? Convergence implies density is zero. See: math.stackexchange.com/questions/5932/…