# Mesih

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bio website location Germany age 22 member for 5 months seen 3 hours ago profile views 192

I am bachelor student of pure mathematics. I am here to learn and help others.

# 90 Answers

 10 Show that $n^3+2n$ is divisible by 3 for all $n\ge 1$ 7 Example of an $(a_n)$ sequence with exactly $k$ limit points 6 Is it true that $u + v$ is an eigenvector corresponding to the eigenvalue $\lambda$? 6 $ABC=I\implies B$ is invertible and $B^{-1} = CA$ 5 Show that $\lim_{n\to\infty}\frac{a^n}{n!}=0$ and that $\sqrt[n]{n!}$ diverges.

# 2,512 Reputation

 +10 Proof of $\int_0^\infty \left(\frac{\sin x}{x}\right)^2 \mathrm dx=\frac{\pi}{2}.$ +10 $X:\Omega \to \mathbb{N}$ is random variable, How to prove that $E[x]=\sum_{i} \Pr(X\ge i)$? +30 I can't solve this limit without using L'Hospital +10 Show that the expectation of a submartingale and supermartingale is an increasing and decreasing function of time, respectively.

# 10 Questions

 6 Partial integration for lebesgue integrable functions 4 Computation of the fourier transformation of a function with a matrix 3 Index and normal subgroups 3 The index of the Core of a group 2 Double cosets and conjugation

# 77 Tags

 43 linear-algebra × 14 22 analysis × 10 38 real-analysis × 18 21 matrices × 5 31 calculus × 14 14 sequences-and-series × 4 28 limits × 9 13 integration × 9 23 general-topology × 17 11 eigenvalues-eigenvectors × 3

# 2 Accounts

 Mathematics 2,512 rep 1214 MathOverflow 101 rep 2

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