scroll-up
X

Bernoulli Inequality Calculator – Mathematical Induction

Bernoulli’s Inequality is defined as an inequality that approximates exponentiations of 1 + x. Here, the inequality states that for every integer r ≥ 0 and every real number x ≥ −1. If the exponent r is even, then the inequality is valid for all real numbers x. The strict version of the inequality is that for every integer r ≥ 2 and every real number x ≥ −1 with x ≠ 0.

Bernoulli Inequality

Table of Contents:

    facebook

    Is This Tool Helpful?

         

    Formula

    (1 + x)r ≥ 1 + rx

    Where,
    x ≥ -1 and x ≠ 0,
    r ≥ 1.

    This advanced online Bernoulli Inequality Calculator is used to calculate the inequality of any given function by putting the values for x value and power raised to that value.

    Example:
    Calculate the inequality of number for the given details.
    x Value: 5
    Power (r): 2

    Solution:
    Apply Formula:
    (1 + x)r ≥ 1 + rx
    (1+5)2 ≥ 1+2*5
    62 ≥ 1+10
    36 > 11

    Therefore the Bernoulli’s Inequality is 36 > 11