12 Probability of getting a second $6$ 9 Calculate $∑_{k>0}(-1)^n/(1+k^2π^2)$ 6 prove the following algebraically $\left( \begin{array}{c} 2n \\ 2\ \end{array} \right) = 2 \left( \begin{array}{c} n \\ 2\ \end{array} \right) + n^2$ 6 Evaluate $\lim_{h\to 0}\frac 1 h\int_{-\infty}^\infty g\left(\frac x h\right)f(x)\,\mathrm dx$ 5 Writing the Beta Function in terms of the Gamma Function

### Reputation (3,159)

This user has no recent positive reputation changes

### Questions (2)

 1 Expected Number of Cycles in Random Permutations with a Random Number of Symbols 1 Strengthening Central Limit Theorem to Convergence of Mean for Specific Case

### Tags (136)

 62 real-analysis × 36 14 proof-verification × 9 38 sequences-and-series × 29 14 complex-analysis × 7 30 limits × 23 14 probability × 4 27 calculus × 24 12 analysis × 8 15 integration × 7 12 fourier-series × 4

### Accounts (19)

 Mathematics 3,159 rep 11 gold badge77 silver badges99 bronze badges Signal Processing 108 rep 33 bronze badges Raspberry Pi 101 rep Stack Overflow 101 rep 11 bronze badge English Language & Usage 101 rep