A Tangent Intercept Ratio

★ 8/10calculus Convexity Logarithms inequality

Problem

The inequality

\ln(x + 1) - 1 \leqslant ax + b

holds for all $x > -1$ . Find the minimum value of $\dfrac{b}{a}$ .

Answer

Solution

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

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