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### Questions (79)

 16 Prove that $(p+q)^m \leq p^m+q^m$ 10 n-th derivative of $\frac{\ln x}{x}$. 9 How I can find this limit? 8 Evaluate $\lim_{n \to \infty} \sum_{j=0}^{n}{{j+n-1} \choose j}\frac{1}{2^{j+n}}$ 7 How to show this inequality?

### Reputation (2,476)

 +5 Prove that $\frac{1}{a^3(b+c)}+\frac{1}{b^3(a+c)}+\frac{1}{c^3(a+b)}\ge \frac32$ +5 Find integration of box function +10 Conditional distributions of the multivariate normal +5 Multiple choice question - number of real roots of $x^6 − 5x^4 + 16x^2 − 72x + 9$

 8 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 Conditional distributions of the multivariate normal 6 Calculating value of $1000^{th}$ derivative at $0$. 5 What is the meaning of $\mathbb R^+$?

### Tags (73)

 15 probability × 14 9 limits × 17 15 derivatives × 11 8 statistics × 28 13 calculus × 16 8 fake-proofs × 2 13 algebra-precalculus × 5 8 continued-fractions 10 notation × 4 6 inequality × 9

### Accounts (7)

 Mathematics 2,476 rep 934 Cross Validated 811 rep 518 Mathematica 111 rep 5 Stack Overflow 103 rep 3 MathOverflow 103 rep 3