### Questions (9)

 2 Binominal distribution to standard normal distribution 1 Proving that $\lim_{v\rightarrow \infty}\left[\frac{v^2}{v^3 + 1} + \frac{v^2}{v^3 + 2} +\cdots + \frac{v^2}{v^3+v}\right]= 1$ 1 Approve that $f = \frac{x}{1 - x^2}$ is an injective function 1 if $f$ is periodic then $f(ax+b)$ is also periodic 0 Prove that $a_n = \frac{1}{n^2} + \frac{2}{n^2} + … + \frac{n}{n^2}$ is Cauchy sequence

### Reputation (56)

 +5 Proving that $\lim_{v\rightarrow \infty}\left[\frac{v^2}{v^3 + 1} + \frac{v^2}{v^3 + 2} +\cdots + \frac{v^2}{v^3+v}\right]= 1$ +5 Approve that $f = \frac{x}{1 - x^2}$ is an injective function +5 if $f$ is periodic then $f(ax+b)$ is also periodic -2 Find the number of the elements for each set. $\emptyset$ , $\{\emptyset\}$ , $\{\{\emptyset\}\}$, $\{\emptyset, \{\emptyset\}\}$

 1 Whether two quantities are greater, smaller or not possible to determine (GRE Quant)? 0 What does it mean for a set to be contained in another?

### Tags (12)

 1 inequality 0 probability-theory 1 gre-exam 0 statistics 0 calculus × 5 0 central-limit-theorem 0 elementary-set-theory × 2 0 definition 0 real-analysis × 2 0 analysis

### Accounts (2)

 Mathematics 56 rep 8 Stack Overflow 26 rep 9