A Nonnegativity-Forcing Parameter

★ 8/10functions calculus Monotonicity Estimation Logarithms inequality

Problem

The function

f(x) = \frac{m\ln x}{x+1} - \ln x + \ln(x+1)

satisfies $f(x) \ge 0$ for all $x > 0$ . Find the range of $m$ .

Answer

Solution

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

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