Let such that . Prove that
Solution
We have successively:
A site of university mathematics
Let such that . Prove that
Solution
We have successively:
Prove that, in any given triangle, it holds:
Solution
Using the fact that and similarly for the other number, where is the semiperimeter of the triangle we have successively:
Let .
Solution
we conclude that is strictly increasing.
On the other hand, and hence:
Let . If , prove that .
If , prove that