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[See Steps] Prove that cos x<1-1/2x^2+(1)/(24)x^4 (Assume that sin

Question: Prove that \(\cos x<1-\frac{1}{2}{{x}^{2}}+\frac{1}{24}{{x}^{4}}\) (Assume that \(\sin x>x-\frac{1}{6}{{x}^{3}}\) )

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