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★ 8/10Extrema calculus Monotonicity Estimation

Problem

The function

f(x) = \ln(x+1) - a\left(\mathrm{e}^{x/2} - \frac{x}{4}\right) + 4

has no zeros. Find the range of the positive real $a$ .

Answer

Solution

Difficulty	8/10
Topics	Extrema, calculus, Monotonicity, Estimation

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