Math Problem Statement

Resous facilement cette inegalite , niveau seconde

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Inequalities
Logarithmic Functions
Polynomials
Calculus

Formulas

Inequality: x^2 - (x^4)/2 ≤ ln(1 + x^2) ≤ x^2
Logarithmic function: ln(1 + x^2)
Polynomial: x^2, x^4

Theorems

Logarithmic properties
Taylor expansion (for approximation and comparison purposes)

Suitable Grade Level

Grades 10-12 (Seconde in French system)

Related Recommendation

Using Mean Value Theorem to Prove 1 > 1 / ln(1 + x) - 1 / x > 0

Proof: f(x) = x - ln(x) is Increasing and ln(x) < x for x > 1

Taylor Polynomial Approximation for ln(1 + x): Error Bound and Solution

Proof of Logarithmic Inequalities Using Lagrange's Mean Value Theorem

Solving Logarithmic Inequalities with Quadratic Equations