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Inequalities

Prove that if x>0, then

1+x/2-x^2/8<(1+x)^(1/2)<1+x/2

Solution Preview

Proof. Let f(x)=(1+x)^(1/2)-1-x/2 and g(x)=(1+x)^(1/2)-1-x/2-x^2/8. We know that
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Solution Summary

This is a proof regarding inequalities and polynomials.

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