An Exponential Beats a Log Ratio

★ 8/10calculus Estimation Logarithms inequality

Problem

Prove that for all $x > 0$ with $x \ne 1$ ,

\mathrm{e}^x - \frac{x^2 - 1}{\ln x} > 0.

Answer

Solution

Difficulty	8/10
Topics	calculus, Estimation, Logarithms, inequality

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