I have problems with proving some generalisation of binominal law.
It is commonly known that
But, I have problems with proving that
is true for .
Can anybody help me?
The inequality is true for
For instance for k=2 : for x=-3
There are several ways to show the inequality
You can study
f is differentiable and
The minimum of f is obtained for x=1 and f(1)=0 therefore
Second way : since f(1)=0 and f'(1)=0, f(x) can be factorized by (x-1)²
You can show that
Both factors are positive for x positive