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

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Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of xx for which the given approximation is accurate to within the stated error.
cosx1x22+x424\cos x \approx 1 - \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 4 } } { 24 } \quad \mid error <0.08\mid < 0.08
Write aa such that a<x<a- a < x < a .


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Causality

The relationship between cause and effect, where one event (the cause) leads to the occurrence of another event (the effect).

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An approach to economics that relies on real-world data and statistical analysis to validate or disprove theories and models.

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