Math Problem Statement
using mean value theorem prove that 0<(1/x)*log((e^x-1)/x))<1 for x>0
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Calculus
Mean Value Theorem
Logarithms
Formulas
-
Theorems
Mean Value Theorem
Suitable Grade Level
Advanced Undergraduate
Related Recommendation
Using Mean Value Theorem to Prove 1 > 1 / ln(1 + x) - 1 / x > 0
Proving Logarithmic Inequality Using the Mean Value Theorem
Proof of e^x > 1 + x for x > 0 Using the Mean Value Theorem
Proof: f(x) = x - ln(x) is Increasing and ln(x) < x for x > 1
Proof of Logarithmic Inequalities Using Lagrange's Mean Value Theorem