# impartialmale

less info
reputation
213
bio website location age member for 2 years, 10 months seen Dec 8 at 2:01 profile views 90

 3 Find maximum of $P$ 2 How to find the value of this limit? $\lim\limits_{x\to\infty}\left(\frac x{x+1}\right)^x.$ 2 Upper bound for $n!$ 2 Prove $\displaystyle\sum_{i=1}^{n}i(i!)=(n+1)!-1$ by induction 1 Is the following text correct about the interior of a given set? (excerpt from Stephen Boyd's convex optimization text)

# 427 Reputation

 +20 How to find the value of this limit? $\lim\limits_{x\to\infty}\left(\frac x{x+1}\right)^x.$ +10 Is the following text correct about the interior of a given set? (excerpt from Stephen Boyd's convex optimization text) +5 Lebesgue integrable of composite functions +5 Discontinuous seminorm on Banach space

# 18 Questions

 6 Is there a “closed” form of sequence $u_{n+1}=\frac{u_n^2}{u_n+1}$ 6 Prove that $\varlimsup _{n\rightarrow \infty}(u_n)^{\frac{1}{n}}=1$ where $u_{n+1}=\frac{2u_n^3+2u_n^2+u_n}{2u_n^2+3u_n+1}$ and $u_0=1$. 4 Properties of the square norm in Banach spaces 3 On the weak convergence in reflexive Banach space 2 Discontinuous seminorm on Banach space

# 30 Tags

 4 inequality × 3 2 discrete-mathematics 3 calculus × 4 2 factorial 3 optimization × 2 1 sequences-and-series × 5 3 multivariable-calculus 1 real-analysis × 3 2 limits × 2 1 trigonometry × 3

# 2 Accounts

 Mathematics 427 rep 213 MathOverflow 101 rep 1