Three Thirds

★ 6/10functions Taylor Series Estimation Logarithms inequality

Problem

Let

a = 3\sin\frac{1}{3}, \qquad b = \mathrm{e}^{-1/3}, \qquad c = \log_3\mathrm{e}.

Arrange $a, b, c$ in increasing order, with proof.

Answer

Solution

Difficulty	6/10
Topics	functions, Taylor Series, Estimation, Logarithms, inequality

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