# Siméon

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 17 Surprising identities / equations 16 Evaluate $\lim\limits_{n \to\infty} \left(\frac{n-1} {2n+2}\right)^n$ 14 How to prove the inequality between mathematical expectations? 13 Proof of the derivative of $x^n$ 11 Evaluating $\sum_{n=1}^{99}\sin(n)$

# 7,071 Reputation

 +25 Convergence of a certain series of Primes +10 Thinning a Poisson Process +10 almost sure convergence of iid sum +10 Prove that $(n+1)(n+2)(n+3)$ is $O(n^3)$

# 5 Questions

 10 Limit of an integral (remainder term of a Euler-Maclaurin expansion) 9 Problem of limit with binomial coefficients 7 Asymptotic expansion of a series 5 “$n$ is even iff $n^2$ is even” and other simple statements to teach proof-writing 5 Value of an integral related to Stirling's formula

# 110 Tags

 106 sequences-and-series × 33 59 probability-theory × 29 97 real-analysis × 38 44 measure-theory × 16 89 limits × 24 43 inequality × 14 81 calculus × 26 41 convergence × 16 69 probability × 32 39 analysis × 10

# 7 Accounts

 Mathematics 7,071 rep 737 MathOverflow 193 rep 6 Stack Overflow 101 rep 2 TeX - LaTeX 101 rep 2 English Language & Usage 101 rep 3