Use the Alternating Series Estimation Theorem or Taylor's Inequality to Estimate

question 29

Short Answer

Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of $x$ for which the given approximation is accurate to within the stated error.
$\cos x \approx 1 - \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 4 } } { 24 } \quad$ error $\mid < 0.08$
Write $a$ such that $- a < x < a$ .

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