# Inequalities

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Prove that if x>0, then

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

Â© BrainMass Inc. brainmass.com March 4, 2021, 5:47 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/inequality-proof-function-10766

#### 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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