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

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. $\cos x \approx 1 - \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 4 } } { 24 } \quad \mid \text { error } \mid < 0.08$ Write a such that $- a < x < a$ .

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