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13 Answered Questions

[SOLVED] How to prove that $\log(x)<x$ when $x>1$?

4 Answered Questions

[SOLVED] Reverse Triangle Inequality Proof

3 Answered Questions

[SOLVED] How do you prove Gautschi's inequality for the gamma function?

20 Answered Questions

[SOLVED] Proofs of AM-GM inequality

6 Answered Questions

[SOLVED] Elementary central binomial coefficient estimates

1 Answered Questions

[SOLVED] Inequality involving $\limsup$ and $\liminf$: $ \liminf(a_{n+1}/a_n) \le \liminf((a_n)^{(1/n)}) \le \limsup((a_n)^{(1/n)}) \le \limsup(a_{n+1}/a_n)$

11 Answered Questions

[SOLVED] Comparing $\pi^e$ and $e^\pi$ without calculating them

26 Answered Questions

[SOLVED] Simplest or nicest proof that $1+x \le e^x$

8 Answered Questions

[SOLVED] How to prove and interpret $\operatorname{rank}(AB) \leq \operatorname{min}(\operatorname{rank}(A), \operatorname{rank}(B))$?

4 Answered Questions

[SOLVED] Is the Euler phi function bounded below?

2 Answered Questions

[SOLVED] Show that $\left|\frac{\alpha - \beta}{1-\bar{\alpha}\beta}\right| < 1$ when $|\alpha|,|\beta| < 1$

9 Answered Questions

[SOLVED] Proof of triangle inequality

2 Answered Questions

[SOLVED] Proof of upper-tail inequality for standard normal distribution

4 Answered Questions

[SOLVED] Purely "algebraic" proof of Young's Inequality

1 Answered Questions

[SOLVED] Prove that $(p+q)^m \leq p^m+q^m$

2 Answered Questions

[SOLVED] Prove the inequality $n! \geq 2^n$ by induction

2 Answered Questions

[SOLVED] How do you show that $l_p \subset l_q$ for $p \leq q$?

7 Answered Questions

[SOLVED] prove that $\frac{(2n)!}{(n!)^2}$ is even if $n$ is a positive integer

6 Answered Questions

[SOLVED] Proving $\sum\limits_{k=1}^{n}{\frac{1}{\sqrt{k}}\ge\sqrt{n}}$ with induction

18 Answered Questions

[SOLVED] How to prove this inequality $ x + \frac{1}{x} \geq 2 $

  • 2014-03-09 08:18:39
  • Aspiring Mathlete
  • 12934 View
  • 5 Score
  • 18 Answer
  • Tags:   inequality

4 Answered Questions

[SOLVED] Intuition behind logarithm inequality: $1 - \frac1x \leq \log x \leq x-1$

  • 2013-03-08 04:05:31
  • Federico Magallanez
  • 28190 View
  • 26 Score
  • 4 Answer
  • Tags:   inequality logarithms

4 Answered Questions

[SOLVED] lim sup inequality $\limsup ( a_n b_n ) \leq \limsup a_n \limsup b_n $

1 Answered Questions

[SOLVED] Could this approximation be made simpler ? Solve $n!=a^n 10^k$

2 Answered Questions

[SOLVED] If $\sigma_n=\frac{s_1+s_2+\cdots+s_n}{n}$ then $\operatorname{{lim sup}}\sigma_n \leq \operatorname{lim sup} s_n$

4 Answered Questions

[SOLVED] Showing the inequality $|\alpha + \beta|^p \leq 2^{p-1}(|\alpha|^p + |\beta|^p)$

6 Answered Questions

[SOLVED] Proving : $ \bigl(1+\frac{1}{n+1}\bigr)^{n+1} \gt (1+\frac{1}{n})^{n} $

5 Answered Questions

[SOLVED] How to prove $\text{Rank}(AB)\leq \min(\text{Rank}(A), \text{Rank}(B))$?

6 Answered Questions

[SOLVED] How to prove $a^2 + b^2 + c^2 \ge ab + bc + ca$?

5 Answered Questions

[SOLVED] Proving the AM-GM inequality for 2 numbers $\sqrt{xy}\le\frac{x+y}2$

7 Answered Questions

[SOLVED] Show that if $n>2$, then $(n!)^2>n^n$.

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