Math Problem Statement
Using mean value theorem prove that 1> 1/ ln(1+x) - 1/x > 0
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Inequalities
Logarithmic Functions
Formulas
Mean Value Theorem: f'(c) = (f(b) - f(a)) / (b - a)
Derivative of ln(1 + x): f'(x) = 1 / (1 + x)
Theorems
Mean Value Theorem
Suitable Grade Level
Grades 11-12, College Level Calculus