Argha
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### Questions (78)

 14 Prove that $(p+q)^m \leq p^m+q^m$ 9 How I can find this limit? 8 Evaluate $\lim_{n \to \infty} \sum_{j=0}^{n}{{j+n-1} \choose j}\frac{1}{2^{j+n}}$ 8 n-th derivative of $\frac{\ln x}{x}$. 7 How to show this inequality?

### Reputation (2,313)

 +10 Conditional distributions of the multivariate normal +5 Find $\lim_{n \rightarrow \infty}\sqrt{n}(A_{n+1} − A_n)$ where $A_n = \frac{1}{n}(a_1 + a_2 + \cdots + a_n)$ +5 Find the distribution function of bivariate distribution +10 Show that $\frac{a^2+1}{b+c}+\frac{b^2+1}{a+c}+\frac{c^2+1}{a+b} \ge 3$

 6 Continued fraction fallacy: $1=2$ 6 Show that $\frac{a^2+1}{b+c}+\frac{b^2+1}{a+c}+\frac{c^2+1}{a+b} \ge 3$ 6 Calculating value of $1000^{th}$ derivative at $0$. 5 What is the meaning of $\mathbb R^+$? 4 Prove that $\left|\int_a^b f(x) dx - (b-a) f(a) \right| \leq \frac{(b-a)^2}{2}$ when $f$ satisfies $|f(u)-f(v)|\leq |u-v|$

### Tags (72)

 15 derivatives × 11 8 statistics × 28 13 probability × 15 8 limits × 16 12 calculus × 16 6 inequality × 9 10 notation × 4 6 fake-proofs 9 algebra-precalculus × 4 6 continued-fractions

### Accounts (7)

 Mathematics 2,313 rep 730 Cross Validated 711 rep 417 Mathematica 106 rep 5 Stack Overflow 103 rep 3 MathOverflow 103 rep 3