ACARCHAU

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34 Answers

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11	Calculating $\lim_{n\to\infty}\sqrt{n}\sin(\sin…(\sin(x)..)$
8	Summation of $\sum\limits_{n=1}^{\infty} \frac{x(x+1) \cdots (x+n-1)}{y(y+1) \cdots (y+n-1)}$
7	Can a symmetric matrix always be represented as the sum of a positive-definite and negative-definite matrix?
6	Consider the following sequence defined as follows:
5	limit of the sum $\frac{1}{n+1}+\frac{1}{n+2}+\cdots+\frac{1}{2n} $

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1,458 Reputation

+10	Generalizing $\sum \limits_{n=1}^{\infty }n^{2}/x^{n}$ to $\sum \limits_{n=1}^{\infty }n^{p}/x^{n}$
+5	Can this sum be simplified?
+30	Distribution of sum of independent random variables
+10	If $\operatorname{rk}(A) = 1$, when $B + A$ is invertible?

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14 Questions

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9	Can this sum be simplified?
8	Bell numbers and moments of the Poisson distribution
7	Accuracy of approximation to inclusion-exclusion formula in prime sieve
5	well separated points on sphere
5	sign reversing involution proof of a combinatorial identity

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41 Tags

35 real-analysis × 10	13 measure-theory × 3
20 sequences-and-series × 5	12 matrices × 3
18 limit × 3	11 numerical-methods
16 linear-algebra × 9	6 calculus × 3
15 analysis × 4	5 binomial-coefficients × 3

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