[Solution Library] Show that if x>0, then 1+1/2 x-1/8 x^2 ≤q √1+x ≤q 1+1/2
Question: Show that if \(x>0\), then \(1+\frac{1}{2} x-\frac{1}{8} x^{2} \leq \sqrt{1+x} \leq 1+\frac{1}{2} x\).
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