How to prove that $3^\pi > \pi^3$
22767
How to prove $3^\pi>\pi^3$ using algebra or geometry?
104548
Geometric proof for irrationality of $\pi$
87242
Ways to prove $ \int_0^\pi dx \frac{\sin^2(n x)}{\sin^2 x} = n\pi$
145891
Prove that $n! > \sqrt{n^n}, n \geq 3$
109953
How to prove that $\sqrt 3$ is an irrational number?
41191
How to prove this $\pi$ formula?
31977
How to prove sum of powers property of roots of unity?
111267
Prove that: $2^a+3^b<3a+4b$
46353
Proof that $\cos(\pi/3)=1/2$
44247
For $a^3+b^3+c^3=3$ prove that $a^4b+b^4c+c^4a\leq3$
15232
Proving an inequality involving real powers
49217
How do I show that $a^p + b^p > (a + b)^p$ for $a,b>0$ and $0<p<1$?
41784
Prove using mathematical induction that $n < 3 ^n$ for all positive integers n.
111094
Help with proving that $\pi$ is irrational
67527
Proof by Induction that $3^n ≥ 1+2^n$
20964
Proof that $n^2 < 2^n$
104498
Show that $x^3y^3(x^3+y^3) \leq 2$