Bernoulli’s Inequality approximates the exponentiations of 1+x. the inequality states that
(1+x)^r >= 1+rx , for x>= - 1 and r>=0 ,
this holds true for every integer r and every real number x.
Bernoulli’s inequality is a part of statistics which simplifies complex calculations and saves valuable time. This is an approximation to the accurate value which fits the consideration set every time.
If r is even, the equation (1+x) ^r > 1+rx holds true for all real numbers of x. While there is another form of Bernoulli’s Inequality such as (1+x) ^r > 1+rx which holds for r>=2 and x>=-1 except for X not equal to zero. The proof of many inequalities is based on Bernoulli’s inequality which has been proved through induction.