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Question 11.13

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TZ
leumasicOfficial

2 months ago

Let a(0,)a \in (0, \infty). It follows that

(a1)20    a22a+10    a2+12a    a+1a2.\begin{align*} (a - 1)^2 \ge 0 &\implies a^2 - 2a + 1 \ge 0 \\ &\implies a^2 + 1 \ge 2a \\ &\implies a + \frac{1}{a} \ge 2. \end{align*}
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Q 11.13