Bernoulli inequality, also known as Bernoulli inequality, is the most common inequality in analytic inequality, which was put forward by mathematician Bernoulli.

Chinese name

bernoulli inequality

Foreign name

bernoulli inequality

Pay attention to meaning

Pay attention to the premise and conditions of the equal sign.

creator

Bernoulli, Bernoulli

Applicable disciplines

Advanced mathematics

For the real number x>- 1,

exist

Sometimes, sometimes

Established;

exist

Sometimes, sometimes

Established.

We can see that the equal sign holds if and only if n = 0, 1, or x = 0.

Bernoulli inequality is often used as a key step to prove other inequalities.

The general formula of Bernoulli inequality is

(For any

all have

and

That is all.

The equal sign holds if and only if n= 1.