Arin Chaudhuri
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 13 Calculating $\lim_{n\to\infty}\sqrt{n}\sin(\sin…(\sin(x)..)$ 9 limit of the sum $\frac{1}{n+1}+\frac{1}{n+2}+\cdots+\frac{1}{2n}$ 9 Can a symmetric matrix always be represented as the sum of a positive-definite and negative-definite matrix? 9 Summation of $\sum\limits_{n=1}^{\infty} \frac{x(x+1) \cdots (x+n-1)}{y(y+1) \cdots (y+n-1)}$ 8 Measurable function remaining constant

### Reputation (2,001)

 +10 real analysis on function continuity and rational numbers +10 How do I see that if $A$ is a Borel subset of $[0, 1]$, then there exists a subsequence $n_j$ such that $\int_A f_{n_j}(x)\,dx$ converges? +5 sign reversing involution proof of a combinatorial identity +5 Bell numbers and moments of the Poisson distribution

### Questions (21)

 11 Bell numbers and moments of the Poisson distribution 9 Can this sum be simplified: $\sum_{k=0}^{n-1} { n -1 \choose k } (-2)^{k} (2n - k)!$? 9 sign reversing involution proof of a combinatorial identity 8 Accuracy of approximation to inclusion-exclusion formula in prime sieve 7 well separated points on sphere

### Tags (49)

 46 real-analysis × 16 17 measure-theory × 4 26 sequences-and-series × 9 16 matrices × 3 26 limits × 4 13 numerical-methods 20 analysis × 5 11 summation × 3 19 linear-algebra × 13 10 calculus × 6

### Accounts (12)

 Mathematics 2,001 rep 919 TeX - LaTeX 422 rep 2610 MathOverflow 262 rep 111 Stack Overflow 174 rep 19 Cross Validated 136 rep 4

 Popular Question × 2 Curious Revival Tumbleweed Yearling × 5 Taxonomist Nice Question Informed Caucus × 3 Civic Duty

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### Votes Cast (769)

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758 up 267 question 9 2
11 down 502 answer